Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [350,2,Mod(71,350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(350, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([6, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("350.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.h (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.79476407074\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 3 x^{19} + 15 x^{18} - 30 x^{17} + 145 x^{16} - 194 x^{15} + 1187 x^{14} - 1490 x^{13} + 10170 x^{12} - 13920 x^{11} + 42087 x^{10} - 591 x^{9} + 65635 x^{8} + 120715 x^{7} + \cdots + 400 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 5^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 211.3 | ||
Root | \(-0.0727237 + 0.223820i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 350.211 |
Dual form | 350.2.h.d.141.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | − | 0.587785i | 0.572061 | − | 0.415627i | ||||
\(3\) | −0.0727237 | + | 0.223820i | −0.0419870 | + | 0.129223i | −0.969853 | − | 0.243692i | \(-0.921642\pi\) |
0.927866 | + | 0.372914i | \(0.121642\pi\) | |||||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | 1.97315 | + | 1.05198i | 0.882420 | + | 0.470462i | ||||
\(6\) | 0.0727237 | + | 0.223820i | 0.0296893 | + | 0.0913743i | ||||
\(7\) | 1.00000 | 0.377964 | ||||||||
\(8\) | −0.309017 | − | 0.951057i | −0.109254 | − | 0.336249i | ||||
\(9\) | 2.38224 | + | 1.73080i | 0.794081 | + | 0.576934i | ||||
\(10\) | 2.21465 | − | 0.308716i | 0.700335 | − | 0.0976247i | ||||
\(11\) | −2.81931 | + | 2.04835i | −0.850054 | + | 0.617601i | −0.925161 | − | 0.379575i | \(-0.876070\pi\) |
0.0751066 | + | 0.997176i | \(0.476070\pi\) | |||||||
\(12\) | 0.190393 | + | 0.138329i | 0.0549617 | + | 0.0399320i | ||||
\(13\) | −0.624050 | − | 0.453399i | −0.173080 | − | 0.125750i | 0.497873 | − | 0.867250i | \(-0.334115\pi\) |
−0.670953 | + | 0.741500i | \(0.734115\pi\) | |||||||
\(14\) | 0.809017 | − | 0.587785i | 0.216219 | − | 0.157092i | ||||
\(15\) | −0.378950 | + | 0.365128i | −0.0978446 | + | 0.0942755i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | 0.149888 | + | 0.461307i | 0.0363531 | + | 0.111883i | 0.967586 | − | 0.252540i | \(-0.0812660\pi\) |
−0.931233 | + | 0.364424i | \(0.881266\pi\) | |||||||
\(18\) | 2.94462 | 0.694053 | ||||||||
\(19\) | −2.01429 | − | 6.19934i | −0.462109 | − | 1.42223i | −0.862582 | − | 0.505918i | \(-0.831154\pi\) |
0.400472 | − | 0.916309i | \(-0.368846\pi\) | |||||||
\(20\) | 1.61023 | − | 1.55150i | 0.360059 | − | 0.346926i | ||||
\(21\) | −0.0727237 | + | 0.223820i | −0.0158696 | + | 0.0488416i | ||||
\(22\) | −1.07688 | + | 3.31430i | −0.229592 | + | 0.706611i | ||||
\(23\) | 6.90600 | − | 5.01750i | 1.44000 | − | 1.04622i | 0.451958 | − | 0.892039i | \(-0.350726\pi\) |
0.988042 | − | 0.154182i | \(-0.0492743\pi\) | |||||||
\(24\) | 0.235339 | 0.0480383 | ||||||||
\(25\) | 2.78666 | + | 4.15145i | 0.557332 | + | 0.830290i | ||||
\(26\) | −0.771369 | −0.151278 | ||||||||
\(27\) | −1.13181 | + | 0.822310i | −0.217818 | + | 0.158254i | ||||
\(28\) | 0.309017 | − | 0.951057i | 0.0583987 | − | 0.179733i | ||||
\(29\) | −1.84532 | + | 5.67931i | −0.342667 | + | 1.05462i | 0.620154 | + | 0.784480i | \(0.287070\pi\) |
−0.962821 | + | 0.270141i | \(0.912930\pi\) | |||||||
\(30\) | −0.0919607 | + | 0.518136i | −0.0167897 | + | 0.0945982i | ||||
\(31\) | −1.20329 | − | 3.70335i | −0.216118 | − | 0.665142i | −0.999072 | − | 0.0430629i | \(-0.986288\pi\) |
0.782955 | − | 0.622079i | \(-0.213712\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −0.253432 | − | 0.779983i | −0.0441168 | − | 0.135778i | ||||
\(34\) | 0.392411 | + | 0.285103i | 0.0672980 | + | 0.0488948i | ||||
\(35\) | 1.97315 | + | 1.05198i | 0.333524 | + | 0.177818i | ||||
\(36\) | 2.38224 | − | 1.73080i | 0.397041 | − | 0.288467i | ||||
\(37\) | −1.06158 | − | 0.771285i | −0.174523 | − | 0.126798i | 0.497095 | − | 0.867696i | \(-0.334400\pi\) |
−0.671618 | + | 0.740898i | \(0.734400\pi\) | |||||||
\(38\) | −5.27348 | − | 3.83140i | −0.855471 | − | 0.621536i | ||||
\(39\) | 0.146863 | − | 0.106702i | 0.0235169 | − | 0.0170860i | ||||
\(40\) | 0.390759 | − | 2.20166i | 0.0617844 | − | 0.348113i | ||||
\(41\) | −5.86485 | − | 4.26106i | −0.915935 | − | 0.665466i | 0.0265738 | − | 0.999647i | \(-0.491540\pi\) |
−0.942509 | + | 0.334181i | \(0.891540\pi\) | |||||||
\(42\) | 0.0727237 | + | 0.223820i | 0.0112215 | + | 0.0345362i | ||||
\(43\) | −7.85350 | −1.19765 | −0.598824 | − | 0.800881i | \(-0.704365\pi\) | ||||
−0.598824 | + | 0.800881i | \(0.704365\pi\) | |||||||
\(44\) | 1.07688 | + | 3.31430i | 0.162346 | + | 0.499649i | ||||
\(45\) | 2.87975 | + | 5.92122i | 0.429288 | + | 0.882683i | ||||
\(46\) | 2.63786 | − | 8.11849i | 0.388931 | − | 1.19701i | ||||
\(47\) | −3.48688 | + | 10.7315i | −0.508613 | + | 1.56535i | 0.285998 | + | 0.958230i | \(0.407675\pi\) |
−0.794611 | + | 0.607120i | \(0.792325\pi\) | |||||||
\(48\) | 0.190393 | − | 0.138329i | 0.0274809 | − | 0.0199660i | ||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | 4.69461 | + | 1.72064i | 0.663919 | + | 0.243335i | ||||
\(51\) | −0.114150 | −0.0159842 | ||||||||
\(52\) | −0.624050 | + | 0.453399i | −0.0865402 | + | 0.0628751i | ||||
\(53\) | 2.66397 | − | 8.19887i | 0.365925 | − | 1.12620i | −0.583475 | − | 0.812131i | \(-0.698307\pi\) |
0.949400 | − | 0.314070i | \(-0.101693\pi\) | |||||||
\(54\) | −0.432314 | + | 1.33053i | −0.0588305 | + | 0.181062i | ||||
\(55\) | −7.71776 | + | 1.07583i | −1.04066 | + | 0.145065i | ||||
\(56\) | −0.309017 | − | 0.951057i | −0.0412941 | − | 0.127090i | ||||
\(57\) | 1.53403 | 0.203187 | ||||||||
\(58\) | 1.84532 | + | 5.67931i | 0.242302 | + | 0.745729i | ||||
\(59\) | −8.49774 | − | 6.17397i | −1.10631 | − | 0.803782i | −0.124232 | − | 0.992253i | \(-0.539647\pi\) |
−0.982079 | + | 0.188471i | \(0.939647\pi\) | |||||||
\(60\) | 0.230155 | + | 0.473234i | 0.0297129 | + | 0.0610942i | ||||
\(61\) | −10.5731 | + | 7.68182i | −1.35375 | + | 0.983556i | −0.354934 | + | 0.934891i | \(0.615497\pi\) |
−0.998815 | + | 0.0486646i | \(0.984503\pi\) | |||||||
\(62\) | −3.15026 | − | 2.28880i | −0.400083 | − | 0.290678i | ||||
\(63\) | 2.38224 | + | 1.73080i | 0.300135 | + | 0.218061i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −0.754377 | − | 1.55112i | −0.0935690 | − | 0.192392i | ||||
\(66\) | −0.663493 | − | 0.482056i | −0.0816703 | − | 0.0593370i | ||||
\(67\) | 2.45478 | + | 7.55504i | 0.299899 | + | 0.922996i | 0.981532 | + | 0.191301i | \(0.0612705\pi\) |
−0.681632 | + | 0.731695i | \(0.738730\pi\) | |||||||
\(68\) | 0.485047 | 0.0588206 | ||||||||
\(69\) | 0.620790 | + | 1.91059i | 0.0747343 | + | 0.230009i | ||||
\(70\) | 2.21465 | − | 0.308716i | 0.264702 | − | 0.0368987i | ||||
\(71\) | −0.0996959 | + | 0.306832i | −0.0118317 | + | 0.0364143i | −0.956798 | − | 0.290753i | \(-0.906094\pi\) |
0.944966 | + | 0.327168i | \(0.106094\pi\) | |||||||
\(72\) | 0.909936 | − | 2.80050i | 0.107237 | − | 0.330042i | ||||
\(73\) | 6.07554 | − | 4.41414i | 0.711088 | − | 0.516636i | −0.172436 | − | 0.985021i | \(-0.555164\pi\) |
0.883525 | + | 0.468385i | \(0.155164\pi\) | |||||||
\(74\) | −1.31219 | −0.152539 | ||||||||
\(75\) | −1.13184 | + | 0.321802i | −0.130693 | + | 0.0371585i | ||||
\(76\) | −6.51837 | −0.747709 | ||||||||
\(77\) | −2.81931 | + | 2.04835i | −0.321290 | + | 0.233431i | ||||
\(78\) | 0.0560967 | − | 0.172648i | 0.00635170 | − | 0.0195485i | ||||
\(79\) | 0.331230 | − | 1.01942i | 0.0372662 | − | 0.114694i | −0.930693 | − | 0.365802i | \(-0.880795\pi\) |
0.967959 | + | 0.251108i | \(0.0807949\pi\) | |||||||
\(80\) | −0.977973 | − | 2.01086i | −0.109341 | − | 0.224821i | ||||
\(81\) | 2.62807 | + | 8.08836i | 0.292008 | + | 0.898707i | ||||
\(82\) | −7.24935 | −0.800557 | ||||||||
\(83\) | −1.48918 | − | 4.58323i | −0.163459 | − | 0.503074i | 0.835461 | − | 0.549550i | \(-0.185201\pi\) |
−0.998919 | + | 0.0464759i | \(0.985201\pi\) | |||||||
\(84\) | 0.190393 | + | 0.138329i | 0.0207736 | + | 0.0150929i | ||||
\(85\) | −0.189536 | + | 1.06791i | −0.0205581 | + | 0.115831i | ||||
\(86\) | −6.35362 | + | 4.61617i | −0.685128 | + | 0.497775i | ||||
\(87\) | −1.13695 | − | 0.826040i | −0.121893 | − | 0.0885608i | ||||
\(88\) | 2.81931 | + | 2.04835i | 0.300540 | + | 0.218355i | ||||
\(89\) | −9.89994 | + | 7.19273i | −1.04939 | + | 0.762428i | −0.972097 | − | 0.234581i | \(-0.924628\pi\) |
−0.0772949 | + | 0.997008i | \(0.524628\pi\) | |||||||
\(90\) | 5.81017 | + | 3.09769i | 0.612446 | + | 0.326525i | ||||
\(91\) | −0.624050 | − | 0.453399i | −0.0654182 | − | 0.0475291i | ||||
\(92\) | −2.63786 | − | 8.11849i | −0.275016 | − | 0.846411i | ||||
\(93\) | 0.916393 | 0.0950256 | ||||||||
\(94\) | 3.48688 | + | 10.7315i | 0.359644 | + | 1.10687i | ||||
\(95\) | 2.54711 | − | 14.3512i | 0.261328 | − | 1.47241i | ||||
\(96\) | 0.0727237 | − | 0.223820i | 0.00742233 | − | 0.0228436i | ||||
\(97\) | −0.340108 | + | 1.04675i | −0.0345328 | + | 0.106281i | −0.966837 | − | 0.255394i | \(-0.917795\pi\) |
0.932304 | + | 0.361675i | \(0.117795\pi\) | |||||||
\(98\) | 0.809017 | − | 0.587785i | 0.0817231 | − | 0.0593753i | ||||
\(99\) | −10.2616 | −1.03133 | ||||||||
\(100\) | 4.80939 | − | 1.36740i | 0.480939 | − | 0.136740i | ||||
\(101\) | 13.1146 | 1.30495 | 0.652475 | − | 0.757811i | \(-0.273731\pi\) | ||||
0.652475 | + | 0.757811i | \(0.273731\pi\) | |||||||
\(102\) | −0.0923495 | + | 0.0670959i | −0.00914397 | + | 0.00664348i | ||||
\(103\) | 2.51189 | − | 7.73082i | 0.247504 | − | 0.761740i | −0.747710 | − | 0.664025i | \(-0.768847\pi\) |
0.995214 | − | 0.0977148i | \(-0.0311533\pi\) | |||||||
\(104\) | −0.238366 | + | 0.733615i | −0.0233737 | + | 0.0719369i | ||||
\(105\) | −0.378950 | + | 0.365128i | −0.0369818 | + | 0.0356328i | ||||
\(106\) | −2.66397 | − | 8.19887i | −0.258748 | − | 0.796344i | ||||
\(107\) | 18.4064 | 1.77941 | 0.889707 | − | 0.456533i | \(-0.150909\pi\) | ||||
0.889707 | + | 0.456533i | \(0.150909\pi\) | |||||||
\(108\) | 0.432314 | + | 1.33053i | 0.0415995 | + | 0.128030i | ||||
\(109\) | −11.0616 | − | 8.03675i | −1.05951 | − | 0.769781i | −0.0855140 | − | 0.996337i | \(-0.527253\pi\) |
−0.973998 | + | 0.226556i | \(0.927253\pi\) | |||||||
\(110\) | −5.61144 | + | 5.40675i | −0.535030 | + | 0.515514i | ||||
\(111\) | 0.249831 | − | 0.181513i | 0.0237130 | − | 0.0172285i | ||||
\(112\) | −0.809017 | − | 0.587785i | −0.0764449 | − | 0.0555405i | ||||
\(113\) | 7.29979 | + | 5.30360i | 0.686706 | + | 0.498921i | 0.875576 | − | 0.483081i | \(-0.160482\pi\) |
−0.188870 | + | 0.982002i | \(0.560482\pi\) | |||||||
\(114\) | 1.24105 | − | 0.901678i | 0.116235 | − | 0.0844498i | ||||
\(115\) | 18.9049 | − | 2.63529i | 1.76289 | − | 0.245742i | ||||
\(116\) | 4.83111 | + | 3.51000i | 0.448557 | + | 0.325896i | ||||
\(117\) | −0.701896 | − | 2.16021i | −0.0648903 | − | 0.199712i | ||||
\(118\) | −10.5038 | −0.966951 | ||||||||
\(119\) | 0.149888 | + | 0.461307i | 0.0137402 | + | 0.0422880i | ||||
\(120\) | 0.464359 | + | 0.247573i | 0.0423900 | + | 0.0226002i | ||||
\(121\) | 0.353594 | − | 1.08825i | 0.0321449 | − | 0.0989318i | ||||
\(122\) | −4.03857 | + | 12.4294i | −0.365635 | + | 1.12531i | ||||
\(123\) | 1.38023 | − | 1.00279i | 0.124451 | − | 0.0904187i | ||||
\(124\) | −3.89393 | −0.349686 | ||||||||
\(125\) | 1.13124 | + | 11.1230i | 0.101181 | + | 0.994868i | ||||
\(126\) | 2.94462 | 0.262327 | ||||||||
\(127\) | −2.57756 | + | 1.87271i | −0.228721 | + | 0.166176i | −0.696244 | − | 0.717805i | \(-0.745147\pi\) |
0.467522 | + | 0.883981i | \(0.345147\pi\) | |||||||
\(128\) | −0.309017 | + | 0.951057i | −0.0273135 | + | 0.0840623i | ||||
\(129\) | 0.571135 | − | 1.75777i | 0.0502857 | − | 0.154763i | ||||
\(130\) | −1.52203 | − | 0.811468i | −0.133491 | − | 0.0711704i | ||||
\(131\) | −2.34540 | − | 7.21840i | −0.204919 | − | 0.630675i | −0.999717 | − | 0.0238006i | \(-0.992423\pi\) |
0.794798 | − | 0.606874i | \(-0.207577\pi\) | |||||||
\(132\) | −0.820123 | −0.0713825 | ||||||||
\(133\) | −2.01429 | − | 6.19934i | −0.174661 | − | 0.537551i | ||||
\(134\) | 6.42670 | + | 4.66927i | 0.555183 | + | 0.403364i | ||||
\(135\) | −3.09830 | + | 0.431894i | −0.266659 | + | 0.0371715i | ||||
\(136\) | 0.392411 | − | 0.285103i | 0.0336490 | − | 0.0244474i | ||||
\(137\) | 9.43305 | + | 6.85351i | 0.805919 | + | 0.585535i | 0.912645 | − | 0.408754i | \(-0.134037\pi\) |
−0.106725 | + | 0.994289i | \(0.534037\pi\) | |||||||
\(138\) | 1.62525 | + | 1.18081i | 0.138350 | + | 0.100517i | ||||
\(139\) | −6.27726 | + | 4.56070i | −0.532431 | + | 0.386833i | −0.821266 | − | 0.570545i | \(-0.806732\pi\) |
0.288836 | + | 0.957379i | \(0.406732\pi\) | |||||||
\(140\) | 1.61023 | − | 1.55150i | 0.136090 | − | 0.131126i | ||||
\(141\) | −2.14835 | − | 1.56087i | −0.180924 | − | 0.131449i | ||||
\(142\) | 0.0996959 | + | 0.306832i | 0.00836630 | + | 0.0257488i | ||||
\(143\) | 2.68811 | 0.224791 | ||||||||
\(144\) | −0.909936 | − | 2.80050i | −0.0758280 | − | 0.233375i | ||||
\(145\) | −9.61564 | + | 9.26489i | −0.798535 | + | 0.769407i | ||||
\(146\) | 2.32065 | − | 7.14223i | 0.192058 | − | 0.591095i | ||||
\(147\) | −0.0727237 | + | 0.223820i | −0.00599815 | + | 0.0184604i | ||||
\(148\) | −1.06158 | + | 0.771285i | −0.0872616 | + | 0.0633992i | ||||
\(149\) | 13.1485 | 1.07717 | 0.538584 | − | 0.842572i | \(-0.318959\pi\) | ||||
0.538584 | + | 0.842572i | \(0.318959\pi\) | |||||||
\(150\) | −0.726523 | + | 0.925619i | −0.0593204 | + | 0.0755765i | ||||
\(151\) | −13.9998 | −1.13929 | −0.569645 | − | 0.821891i | \(-0.692919\pi\) | ||||
−0.569645 | + | 0.821891i | \(0.692919\pi\) | |||||||
\(152\) | −5.27348 | + | 3.83140i | −0.427735 | + | 0.310768i | ||||
\(153\) | −0.441362 | + | 1.35837i | −0.0356820 | + | 0.109818i | ||||
\(154\) | −1.07688 | + | 3.31430i | −0.0867776 | + | 0.267074i | ||||
\(155\) | 1.52159 | − | 8.57312i | 0.122217 | − | 0.688610i | ||||
\(156\) | −0.0560967 | − | 0.172648i | −0.00449133 | − | 0.0138229i | ||||
\(157\) | 3.25293 | 0.259612 | 0.129806 | − | 0.991539i | \(-0.458565\pi\) | ||||
0.129806 | + | 0.991539i | \(0.458565\pi\) | |||||||
\(158\) | −0.331230 | − | 1.01942i | −0.0263512 | − | 0.0811007i | ||||
\(159\) | 1.64134 | + | 1.19250i | 0.130167 | + | 0.0945716i | ||||
\(160\) | −1.97315 | − | 1.05198i | −0.155991 | − | 0.0831667i | ||||
\(161\) | 6.90600 | − | 5.01750i | 0.544269 | − | 0.395435i | ||||
\(162\) | 6.88037 | + | 4.99888i | 0.540573 | + | 0.392749i | ||||
\(163\) | −7.33643 | − | 5.33023i | −0.574633 | − | 0.417496i | 0.262152 | − | 0.965027i | \(-0.415568\pi\) |
−0.836785 | + | 0.547531i | \(0.815568\pi\) | |||||||
\(164\) | −5.86485 | + | 4.26106i | −0.457968 | + | 0.332733i | ||||
\(165\) | 0.320470 | − | 1.80563i | 0.0249486 | − | 0.140568i | ||||
\(166\) | −3.89872 | − | 2.83259i | −0.302600 | − | 0.219852i | ||||
\(167\) | −3.15691 | − | 9.71596i | −0.244289 | − | 0.751844i | −0.995753 | − | 0.0920694i | \(-0.970652\pi\) |
0.751464 | − | 0.659774i | \(-0.229348\pi\) | |||||||
\(168\) | 0.235339 | 0.0181568 | ||||||||
\(169\) | −3.83335 | − | 11.7978i | −0.294873 | − | 0.907527i | ||||
\(170\) | 0.474363 | + | 0.975363i | 0.0363820 | + | 0.0748069i | ||||
\(171\) | 5.93131 | − | 18.2547i | 0.453578 | − | 1.39597i | ||||
\(172\) | −2.42687 | + | 7.46912i | −0.185047 | + | 0.569515i | ||||
\(173\) | 11.3415 | − | 8.24009i | 0.862280 | − | 0.626483i | −0.0662246 | − | 0.997805i | \(-0.521095\pi\) |
0.928504 | + | 0.371322i | \(0.121095\pi\) | |||||||
\(174\) | −1.40534 | −0.106539 | ||||||||
\(175\) | 2.78666 | + | 4.15145i | 0.210652 | + | 0.313820i | ||||
\(176\) | 3.48486 | 0.262681 | ||||||||
\(177\) | 1.99985 | − | 1.45297i | 0.150318 | − | 0.109212i | ||||
\(178\) | −3.78144 | + | 11.6381i | −0.283431 | + | 0.872311i | ||||
\(179\) | 1.93279 | − | 5.94852i | 0.144464 | − | 0.444613i | −0.852478 | − | 0.522763i | \(-0.824901\pi\) |
0.996942 | + | 0.0781498i | \(0.0249012\pi\) | |||||||
\(180\) | 6.52131 | − | 0.909051i | 0.486069 | − | 0.0677567i | ||||
\(181\) | 0.917907 | + | 2.82503i | 0.0682275 | + | 0.209983i | 0.979357 | − | 0.202137i | \(-0.0647886\pi\) |
−0.911130 | + | 0.412120i | \(0.864789\pi\) | |||||||
\(182\) | −0.771369 | −0.0571776 | ||||||||
\(183\) | −0.950432 | − | 2.92513i | −0.0702580 | − | 0.216232i | ||||
\(184\) | −6.90600 | − | 5.01750i | −0.509117 | − | 0.369895i | ||||
\(185\) | −1.28328 | − | 2.63863i | −0.0943489 | − | 0.193996i | ||||
\(186\) | 0.741378 | − | 0.538643i | 0.0543605 | − | 0.0394952i | ||||
\(187\) | −1.36750 | − | 0.993546i | −0.100001 | − | 0.0726553i | ||||
\(188\) | 9.12876 | + | 6.63243i | 0.665783 | + | 0.483720i | ||||
\(189\) | −1.13181 | + | 0.822310i | −0.0823273 | + | 0.0598143i | ||||
\(190\) | −6.37479 | − | 13.1076i | −0.462476 | − | 0.950922i | ||||
\(191\) | 17.3312 | + | 12.5918i | 1.25404 | + | 0.911113i | 0.998449 | − | 0.0556724i | \(-0.0177302\pi\) |
0.255590 | + | 0.966785i | \(0.417730\pi\) | |||||||
\(192\) | −0.0727237 | − | 0.223820i | −0.00524838 | − | 0.0161528i | ||||
\(193\) | 21.9963 | 1.58333 | 0.791665 | − | 0.610956i | \(-0.209215\pi\) | ||||
0.791665 | + | 0.610956i | \(0.209215\pi\) | |||||||
\(194\) | 0.340108 | + | 1.04675i | 0.0244183 | + | 0.0751519i | ||||
\(195\) | 0.402033 | − | 0.0560422i | 0.0287901 | − | 0.00401326i | ||||
\(196\) | 0.309017 | − | 0.951057i | 0.0220726 | − | 0.0679326i | ||||
\(197\) | −0.741148 | + | 2.28102i | −0.0528046 | + | 0.162516i | −0.973981 | − | 0.226629i | \(-0.927229\pi\) |
0.921177 | + | 0.389145i | \(0.127229\pi\) | |||||||
\(198\) | −8.30179 | + | 6.03160i | −0.589982 | + | 0.428647i | ||||
\(199\) | 0.493350 | 0.0349727 | 0.0174863 | − | 0.999847i | \(-0.494434\pi\) | ||||
0.0174863 | + | 0.999847i | \(0.494434\pi\) | |||||||
\(200\) | 3.08714 | − | 3.93314i | 0.218294 | − | 0.278115i | ||||
\(201\) | −1.86949 | −0.131864 | ||||||||
\(202\) | 10.6099 | − | 7.70855i | 0.746511 | − | 0.542372i | ||||
\(203\) | −1.84532 | + | 5.67931i | −0.129516 | + | 0.398609i | ||||
\(204\) | −0.0352744 | + | 0.108563i | −0.00246970 | + | 0.00760096i | ||||
\(205\) | −7.08967 | − | 14.5774i | −0.495164 | − | 1.01813i | ||||
\(206\) | −2.51189 | − | 7.73082i | −0.175012 | − | 0.538632i | ||||
\(207\) | 25.1361 | 1.74708 | ||||||||
\(208\) | 0.238366 | + | 0.733615i | 0.0165277 | + | 0.0508671i | ||||
\(209\) | 18.3773 | + | 13.3519i | 1.27119 | + | 0.923571i | ||||
\(210\) | −0.0919607 | + | 0.518136i | −0.00634589 | + | 0.0357548i | ||||
\(211\) | −5.05405 | + | 3.67198i | −0.347935 | + | 0.252790i | −0.748002 | − | 0.663696i | \(-0.768987\pi\) |
0.400067 | + | 0.916486i | \(0.368987\pi\) | |||||||
\(212\) | −6.97437 | − | 5.06718i | −0.479002 | − | 0.348015i | ||||
\(213\) | −0.0614251 | − | 0.0446280i | −0.00420878 | − | 0.00305786i | ||||
\(214\) | 14.8911 | − | 10.8190i | 1.01793 | − | 0.739572i | ||||
\(215\) | −15.4962 | − | 8.26176i | −1.05683 | − | 0.563447i | ||||
\(216\) | 1.13181 | + | 0.822310i | 0.0770101 | + | 0.0559511i | ||||
\(217\) | −1.20329 | − | 3.70335i | −0.0816848 | − | 0.251400i | ||||
\(218\) | −13.6729 | −0.926048 | ||||||||
\(219\) | 0.546139 | + | 1.68084i | 0.0369046 | + | 0.113581i | ||||
\(220\) | −1.36174 | + | 7.67248i | −0.0918085 | + | 0.517278i | ||||
\(221\) | 0.115619 | − | 0.355838i | 0.00777736 | − | 0.0239362i | ||||
\(222\) | 0.0954271 | − | 0.293694i | 0.00640465 | − | 0.0197115i | ||||
\(223\) | −12.2348 | + | 8.88907i | −0.819300 | + | 0.595256i | −0.916512 | − | 0.400007i | \(-0.869008\pi\) |
0.0972120 | + | 0.995264i | \(0.469008\pi\) | |||||||
\(224\) | −1.00000 | −0.0668153 | ||||||||
\(225\) | −0.546837 | + | 14.7129i | −0.0364558 | + | 0.980861i | ||||
\(226\) | 9.02303 | 0.600203 | ||||||||
\(227\) | 7.74229 | − | 5.62510i | 0.513874 | − | 0.373351i | −0.300417 | − | 0.953808i | \(-0.597126\pi\) |
0.814291 | + | 0.580457i | \(0.197126\pi\) | |||||||
\(228\) | 0.474040 | − | 1.45895i | 0.0313941 | − | 0.0966210i | ||||
\(229\) | 2.86979 | − | 8.83232i | 0.189641 | − | 0.583656i | −0.810356 | − | 0.585938i | \(-0.800726\pi\) |
0.999997 | + | 0.00228175i | \(0.000726305\pi\) | |||||||
\(230\) | 13.7454 | − | 13.2440i | 0.906346 | − | 0.873285i | ||||
\(231\) | −0.253432 | − | 0.779983i | −0.0166746 | − | 0.0513191i | ||||
\(232\) | 5.97158 | 0.392053 | ||||||||
\(233\) | −3.34005 | − | 10.2796i | −0.218814 | − | 0.673441i | −0.998861 | − | 0.0477193i | \(-0.984805\pi\) |
0.780047 | − | 0.625721i | \(-0.215195\pi\) | |||||||
\(234\) | −1.83759 | − | 1.33509i | −0.120127 | − | 0.0872773i | ||||
\(235\) | −18.1695 | + | 17.5067i | −1.18525 | + | 1.14201i | ||||
\(236\) | −8.49774 | + | 6.17397i | −0.553155 | + | 0.401891i | ||||
\(237\) | 0.204079 | + | 0.148272i | 0.0132563 | + | 0.00963129i | ||||
\(238\) | 0.392411 | + | 0.285103i | 0.0254362 | + | 0.0184805i | ||||
\(239\) | −12.3443 | + | 8.96869i | −0.798489 | + | 0.580136i | −0.910471 | − | 0.413574i | \(-0.864280\pi\) |
0.111981 | + | 0.993710i | \(0.464280\pi\) | |||||||
\(240\) | 0.521194 | − | 0.0726529i | 0.0336429 | − | 0.00468973i | ||||
\(241\) | −4.45908 | − | 3.23971i | −0.287234 | − | 0.208688i | 0.434832 | − | 0.900511i | \(-0.356808\pi\) |
−0.722067 | + | 0.691823i | \(0.756808\pi\) | |||||||
\(242\) | −0.353594 | − | 1.08825i | −0.0227299 | − | 0.0699554i | ||||
\(243\) | −6.19846 | −0.397631 | ||||||||
\(244\) | 4.03857 | + | 12.4294i | 0.258543 | + | 0.795714i | ||||
\(245\) | 1.97315 | + | 1.05198i | 0.126060 | + | 0.0672088i | ||||
\(246\) | 0.527199 | − | 1.62255i | 0.0336130 | − | 0.103450i | ||||
\(247\) | −1.55376 | + | 4.78198i | −0.0988633 | + | 0.304270i | ||||
\(248\) | −3.15026 | + | 2.28880i | −0.200042 | + | 0.145339i | ||||
\(249\) | 1.13412 | 0.0718718 | ||||||||
\(250\) | 7.45311 | + | 8.33374i | 0.471376 | + | 0.527072i | ||||
\(251\) | 29.4811 | 1.86083 | 0.930416 | − | 0.366506i | \(-0.119446\pi\) | ||||
0.930416 | + | 0.366506i | \(0.119446\pi\) | |||||||
\(252\) | 2.38224 | − | 1.73080i | 0.150067 | − | 0.109030i | ||||
\(253\) | −9.19256 | + | 28.2918i | −0.577932 | + | 1.77869i | ||||
\(254\) | −0.984540 | + | 3.03010i | −0.0617755 | + | 0.190126i | ||||
\(255\) | −0.225236 | − | 0.120084i | −0.0141048 | − | 0.00751997i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 20.7318 | 1.29321 | 0.646607 | − | 0.762823i | \(-0.276187\pi\) | ||||
0.646607 | + | 0.762823i | \(0.276187\pi\) | |||||||
\(258\) | −0.571135 | − | 1.75777i | −0.0355573 | − | 0.109434i | ||||
\(259\) | −1.06158 | − | 0.771285i | −0.0659635 | − | 0.0479253i | ||||
\(260\) | −1.70831 | + | 0.238134i | −0.105945 | + | 0.0147685i | ||||
\(261\) | −14.2258 | + | 10.3356i | −0.880552 | + | 0.639758i | ||||
\(262\) | −6.14034 | − | 4.46122i | −0.379351 | − | 0.275615i | ||||
\(263\) | 13.5433 | + | 9.83976i | 0.835113 | + | 0.606745i | 0.921001 | − | 0.389559i | \(-0.127373\pi\) |
−0.0858880 | + | 0.996305i | \(0.527373\pi\) | |||||||
\(264\) | −0.663493 | + | 0.482056i | −0.0408352 | + | 0.0296685i | ||||
\(265\) | 13.8815 | − | 13.3751i | 0.852734 | − | 0.821629i | ||||
\(266\) | −5.27348 | − | 3.83140i | −0.323338 | − | 0.234918i | ||||
\(267\) | −0.889919 | − | 2.73889i | −0.0544622 | − | 0.167617i | ||||
\(268\) | 7.94384 | 0.485248 | ||||||||
\(269\) | −0.771620 | − | 2.37480i | −0.0470465 | − | 0.144794i | 0.924774 | − | 0.380518i | \(-0.124254\pi\) |
−0.971820 | + | 0.235723i | \(0.924254\pi\) | |||||||
\(270\) | −2.25271 | + | 2.17054i | −0.137096 | + | 0.132095i | ||||
\(271\) | 4.04834 | − | 12.4595i | 0.245919 | − | 0.756861i | −0.749565 | − | 0.661931i | \(-0.769737\pi\) |
0.995484 | − | 0.0949303i | \(-0.0302628\pi\) | |||||||
\(272\) | 0.149888 | − | 0.461307i | 0.00908828 | − | 0.0279709i | ||||
\(273\) | 0.146863 | − | 0.106702i | 0.00888856 | − | 0.00645792i | ||||
\(274\) | 11.6599 | 0.704399 | ||||||||
\(275\) | −16.3601 | − | 5.99618i | −0.986550 | − | 0.361583i | ||||
\(276\) | 2.00892 | 0.120923 | ||||||||
\(277\) | −13.3220 | + | 9.67902i | −0.800443 | + | 0.581556i | −0.911044 | − | 0.412309i | \(-0.864722\pi\) |
0.110601 | + | 0.993865i | \(0.464722\pi\) | |||||||
\(278\) | −2.39770 | + | 7.37937i | −0.143805 | + | 0.442585i | ||||
\(279\) | 3.54323 | − | 10.9049i | 0.212128 | − | 0.652862i | ||||
\(280\) | 0.390759 | − | 2.20166i | 0.0233523 | − | 0.131574i | ||||
\(281\) | 7.01947 | + | 21.6037i | 0.418747 | + | 1.28877i | 0.908856 | + | 0.417109i | \(0.136957\pi\) |
−0.490110 | + | 0.871661i | \(0.663043\pi\) | |||||||
\(282\) | −2.65551 | −0.158133 | ||||||||
\(283\) | 4.45827 | + | 13.7211i | 0.265016 | + | 0.815637i | 0.991690 | + | 0.128653i | \(0.0410655\pi\) |
−0.726673 | + | 0.686983i | \(0.758935\pi\) | |||||||
\(284\) | 0.261007 | + | 0.189633i | 0.0154879 | + | 0.0112526i | ||||
\(285\) | 3.02687 | + | 1.61377i | 0.179296 | + | 0.0955915i | ||||
\(286\) | 2.17473 | − | 1.58003i | 0.128594 | − | 0.0934293i | ||||
\(287\) | −5.86485 | − | 4.26106i | −0.346191 | − | 0.251522i | ||||
\(288\) | −2.38224 | − | 1.73080i | −0.140375 | − | 0.101988i | ||||
\(289\) | 13.5630 | − | 9.85406i | 0.797821 | − | 0.579651i | ||||
\(290\) | −2.33345 | + | 13.1474i | −0.137025 | + | 0.772041i | ||||
\(291\) | −0.209549 | − | 0.152246i | −0.0122840 | − | 0.00892484i | ||||
\(292\) | −2.32065 | − | 7.14223i | −0.135806 | − | 0.417967i | ||||
\(293\) | −27.7142 | −1.61908 | −0.809541 | − | 0.587063i | \(-0.800284\pi\) | ||||
−0.809541 | + | 0.587063i | \(0.800284\pi\) | |||||||
\(294\) | 0.0727237 | + | 0.223820i | 0.00424133 | + | 0.0130535i | ||||
\(295\) | −10.2724 | − | 21.1217i | −0.598083 | − | 1.22975i | ||||
\(296\) | −0.405488 | + | 1.24797i | −0.0235685 | + | 0.0725365i | ||||
\(297\) | 1.50655 | − | 4.63670i | 0.0874192 | − | 0.269049i | ||||
\(298\) | 10.6374 | − | 7.72851i | 0.616207 | − | 0.447700i | ||||
\(299\) | −6.58462 | −0.380798 | ||||||||
\(300\) | −0.0437042 | + | 1.17588i | −0.00252326 | + | 0.0678896i | ||||
\(301\) | −7.85350 | −0.452668 | ||||||||
\(302\) | −11.3261 | + | 8.22889i | −0.651744 | + | 0.473520i | ||||
\(303\) | −0.953740 | + | 2.93531i | −0.0547909 | + | 0.168629i | ||||
\(304\) | −2.01429 | + | 6.19934i | −0.115527 | + | 0.355557i | ||||
\(305\) | −28.9435 | + | 4.03464i | −1.65730 | + | 0.231023i | ||||
\(306\) | 0.441362 | + | 1.35837i | 0.0252310 | + | 0.0776530i | ||||
\(307\) | −6.11087 | −0.348766 | −0.174383 | − | 0.984678i | \(-0.555793\pi\) | ||||
−0.174383 | + | 0.984678i | \(0.555793\pi\) | |||||||
\(308\) | 1.07688 | + | 3.31430i | 0.0613610 | + | 0.188850i | ||||
\(309\) | 1.54764 | + | 1.12443i | 0.0880422 | + | 0.0639664i | ||||
\(310\) | −3.80816 | − | 7.83017i | −0.216289 | − | 0.444724i | ||||
\(311\) | −17.1278 | + | 12.4440i | −0.971226 | + | 0.705637i | −0.955731 | − | 0.294243i | \(-0.904933\pi\) |
−0.0154954 | + | 0.999880i | \(0.504933\pi\) | |||||||
\(312\) | −0.146863 | − | 0.106702i | −0.00831449 | − | 0.00604083i | ||||
\(313\) | 5.91106 | + | 4.29464i | 0.334113 | + | 0.242747i | 0.742174 | − | 0.670207i | \(-0.233795\pi\) |
−0.408061 | + | 0.912955i | \(0.633795\pi\) | |||||||
\(314\) | 2.63168 | − | 1.91203i | 0.148514 | − | 0.107902i | ||||
\(315\) | 2.87975 | + | 5.92122i | 0.162256 | + | 0.333623i | ||||
\(316\) | −0.867170 | − | 0.630036i | −0.0487821 | − | 0.0354423i | ||||
\(317\) | −3.32388 | − | 10.2298i | −0.186687 | − | 0.574565i | 0.813286 | − | 0.581864i | \(-0.197677\pi\) |
−0.999973 | + | 0.00729942i | \(0.997677\pi\) | |||||||
\(318\) | 2.02881 | 0.113770 | ||||||||
\(319\) | −6.43068 | − | 19.7916i | −0.360049 | − | 1.10812i | ||||
\(320\) | −2.21465 | + | 0.308716i | −0.123803 | + | 0.0172578i | ||||
\(321\) | −1.33858 | + | 4.11973i | −0.0747123 | + | 0.229941i | ||||
\(322\) | 2.63786 | − | 8.11849i | 0.147002 | − | 0.452426i | ||||
\(323\) | 2.55788 | − | 1.85841i | 0.142324 | − | 0.103405i | ||||
\(324\) | 8.50461 | 0.472478 | ||||||||
\(325\) | 0.143249 | − | 3.85418i | 0.00794602 | − | 0.213792i | ||||
\(326\) | −9.06832 | −0.502248 | ||||||||
\(327\) | 2.60323 | − | 1.89136i | 0.143959 | − | 0.104592i | ||||
\(328\) | −2.24017 | + | 6.89454i | −0.123693 | + | 0.380687i | ||||
\(329\) | −3.48688 | + | 10.7315i | −0.192238 | + | 0.591647i | ||||
\(330\) | −0.802057 | − | 1.64915i | −0.0441518 | − | 0.0907829i | ||||
\(331\) | 6.81870 | + | 20.9858i | 0.374790 | + | 1.15348i | 0.943620 | + | 0.331029i | \(0.107396\pi\) |
−0.568831 | + | 0.822455i | \(0.692604\pi\) | |||||||
\(332\) | −4.81909 | −0.264482 | ||||||||
\(333\) | −1.19401 | − | 3.67478i | −0.0654312 | − | 0.201377i | ||||
\(334\) | −8.26489 | − | 6.00480i | −0.452235 | − | 0.328568i | ||||
\(335\) | −3.10413 | + | 17.4896i | −0.169597 | + | 0.955561i | ||||
\(336\) | 0.190393 | − | 0.138329i | 0.0103868 | − | 0.00754644i | ||||
\(337\) | −24.7357 | − | 17.9716i | −1.34744 | − | 0.978973i | −0.999135 | − | 0.0415919i | \(-0.986757\pi\) |
−0.348306 | − | 0.937381i | \(-0.613243\pi\) | |||||||
\(338\) | −10.0358 | − | 7.29147i | −0.545878 | − | 0.396604i | ||||
\(339\) | −1.71792 | + | 1.24814i | −0.0933047 | + | 0.0677898i | ||||
\(340\) | 0.957071 | + | 0.510262i | 0.0519045 | + | 0.0276728i | ||||
\(341\) | 10.9782 | + | 7.97614i | 0.594504 | + | 0.431932i | ||||
\(342\) | −5.93131 | − | 18.2547i | −0.320728 | − | 0.987100i | ||||
\(343\) | 1.00000 | 0.0539949 | ||||||||
\(344\) | 2.42687 | + | 7.46912i | 0.130848 | + | 0.402708i | ||||
\(345\) | −0.785003 | + | 4.42295i | −0.0422631 | + | 0.238124i | ||||
\(346\) | 4.33207 | − | 13.3328i | 0.232894 | − | 0.716773i | ||||
\(347\) | −4.63033 | + | 14.2507i | −0.248569 | + | 0.765017i | 0.746460 | + | 0.665430i | \(0.231752\pi\) |
−0.995029 | + | 0.0995862i | \(0.968248\pi\) | |||||||
\(348\) | −1.13695 | + | 0.826040i | −0.0609467 | + | 0.0442804i | ||||
\(349\) | −1.78680 | −0.0956453 | −0.0478227 | − | 0.998856i | \(-0.515228\pi\) | ||||
−0.0478227 | + | 0.998856i | \(0.515228\pi\) | |||||||
\(350\) | 4.69461 | + | 1.72064i | 0.250938 | + | 0.0919719i | ||||
\(351\) | 1.07914 | 0.0576004 | ||||||||
\(352\) | 2.81931 | − | 2.04835i | 0.150270 | − | 0.109177i | ||||
\(353\) | 7.29026 | − | 22.4371i | 0.388021 | − | 1.19421i | −0.546244 | − | 0.837626i | \(-0.683943\pi\) |
0.934265 | − | 0.356580i | \(-0.116057\pi\) | |||||||
\(354\) | 0.763873 | − | 2.35096i | 0.0405994 | − | 0.124952i | ||||
\(355\) | −0.519498 | + | 0.500549i | −0.0275721 | + | 0.0265664i | ||||
\(356\) | 3.78144 | + | 11.6381i | 0.200416 | + | 0.616817i | ||||
\(357\) | −0.114150 | −0.00604148 | ||||||||
\(358\) | −1.93279 | − | 5.94852i | −0.102151 | − | 0.314389i | ||||
\(359\) | −5.85539 | − | 4.25419i | −0.309036 | − | 0.224528i | 0.422447 | − | 0.906388i | \(-0.361171\pi\) |
−0.731483 | + | 0.681860i | \(0.761171\pi\) | |||||||
\(360\) | 4.74152 | − | 4.56857i | 0.249900 | − | 0.240785i | ||||
\(361\) | −19.0032 | + | 13.8066i | −1.00017 | + | 0.726663i | ||||
\(362\) | 2.40311 | + | 1.74596i | 0.126305 | + | 0.0917657i | ||||
\(363\) | 0.217858 | + | 0.158283i | 0.0114346 | + | 0.00830771i | ||||
\(364\) | −0.624050 | + | 0.453399i | −0.0327091 | + | 0.0237646i | ||||
\(365\) | 16.6316 | − | 2.31839i | 0.870536 | − | 0.121350i | ||||
\(366\) | −2.48826 | − | 1.80783i | −0.130064 | − | 0.0944967i | ||||
\(367\) | −2.66815 | − | 8.21172i | −0.139276 | − | 0.428648i | 0.856954 | − | 0.515392i | \(-0.172354\pi\) |
−0.996231 | + | 0.0867439i | \(0.972354\pi\) | |||||||
\(368\) | −8.53628 | −0.444985 | ||||||||
\(369\) | −6.59645 | − | 20.3018i | −0.343397 | − | 1.05687i | ||||
\(370\) | −2.58915 | − | 1.38040i | −0.134603 | − | 0.0717637i | ||||
\(371\) | 2.66397 | − | 8.19887i | 0.138307 | − | 0.425664i | ||||
\(372\) | 0.283181 | − | 0.871542i | 0.0146823 | − | 0.0451873i | ||||
\(373\) | −21.6341 | + | 15.7181i | −1.12017 | + | 0.813854i | −0.984235 | − | 0.176864i | \(-0.943405\pi\) |
−0.135938 | + | 0.990717i | \(0.543405\pi\) | |||||||
\(374\) | −1.69032 | −0.0874044 | ||||||||
\(375\) | −2.57181 | − | 0.555708i | −0.132808 | − | 0.0286966i | ||||
\(376\) | 11.2838 | 0.581916 | ||||||||
\(377\) | 3.72656 | − | 2.70751i | 0.191928 | − | 0.139444i | ||||
\(378\) | −0.432314 | + | 1.33053i | −0.0222358 | + | 0.0684349i | ||||
\(379\) | −1.22610 | + | 3.77354i | −0.0629804 | + | 0.193834i | −0.977596 | − | 0.210491i | \(-0.932494\pi\) |
0.914615 | + | 0.404325i | \(0.132494\pi\) | |||||||
\(380\) | −12.8617 | − | 6.85723i | −0.659793 | − | 0.351768i | ||||
\(381\) | −0.231700 | − | 0.713100i | −0.0118704 | − | 0.0365332i | ||||
\(382\) | 21.4225 | 1.09607 | ||||||||
\(383\) | −0.686735 | − | 2.11355i | −0.0350905 | − | 0.107998i | 0.931977 | − | 0.362517i | \(-0.118083\pi\) |
−0.967068 | + | 0.254520i | \(0.918083\pi\) | |||||||
\(384\) | −0.190393 | − | 0.138329i | −0.00971595 | − | 0.00705905i | ||||
\(385\) | −7.71776 | + | 1.07583i | −0.393334 | + | 0.0548296i | ||||
\(386\) | 17.7954 | − | 12.9291i | 0.905762 | − | 0.658074i | ||||
\(387\) | −18.7090 | − | 13.5929i | −0.951030 | − | 0.690964i | ||||
\(388\) | 0.890415 | + | 0.646924i | 0.0452040 | + | 0.0328426i | ||||
\(389\) | 0.744340 | − | 0.540795i | 0.0377395 | − | 0.0274194i | −0.568756 | − | 0.822507i | \(-0.692575\pi\) |
0.606495 | + | 0.795087i | \(0.292575\pi\) | |||||||
\(390\) | 0.292310 | − | 0.281648i | 0.0148017 | − | 0.0142618i | ||||
\(391\) | 3.34973 | + | 2.43372i | 0.169403 | + | 0.123079i | ||||
\(392\) | −0.309017 | − | 0.951057i | −0.0156077 | − | 0.0480356i | ||||
\(393\) | 1.78619 | 0.0901014 | ||||||||
\(394\) | 0.741148 | + | 2.28102i | 0.0373385 | + | 0.114916i | ||||
\(395\) | 1.72598 | − | 1.66302i | 0.0868435 | − | 0.0836757i | ||||
\(396\) | −3.17100 | + | 9.75934i | −0.159349 | + | 0.490425i | ||||
\(397\) | −8.42926 | + | 25.9426i | −0.423052 | + | 1.30202i | 0.481794 | + | 0.876284i | \(0.339985\pi\) |
−0.904847 | + | 0.425737i | \(0.860015\pi\) | |||||||
\(398\) | 0.399129 | − | 0.289984i | 0.0200065 | − | 0.0145356i | ||||
\(399\) | 1.53403 | 0.0767973 | ||||||||
\(400\) | 0.185708 | − | 4.99655i | 0.00928538 | − | 0.249828i | ||||
\(401\) | −9.12314 | −0.455588 | −0.227794 | − | 0.973709i | \(-0.573151\pi\) | ||||
−0.227794 | + | 0.973709i | \(0.573151\pi\) | |||||||
\(402\) | −1.51245 | + | 1.09886i | −0.0754343 | + | 0.0548062i | ||||
\(403\) | −0.928181 | + | 2.85665i | −0.0462360 | + | 0.142300i | ||||
\(404\) | 4.05263 | − | 12.4727i | 0.201626 | − | 0.620540i | ||||
\(405\) | −3.32325 | + | 18.7243i | −0.165134 | + | 0.930416i | ||||
\(406\) | 1.84532 | + | 5.67931i | 0.0915816 | + | 0.281859i | ||||
\(407\) | 4.57279 | 0.226665 | ||||||||
\(408\) | 0.0352744 | + | 0.108563i | 0.00174634 | + | 0.00537469i | ||||
\(409\) | 27.9461 | + | 20.3040i | 1.38185 | + | 1.00397i | 0.996705 | + | 0.0811129i | \(0.0258474\pi\) |
0.385142 | + | 0.922857i | \(0.374153\pi\) | |||||||
\(410\) | −14.3041 | − | 7.62620i | −0.706428 | − | 0.376631i | ||||
\(411\) | −2.21996 | + | 1.61290i | −0.109503 | + | 0.0795583i | ||||
\(412\) | −6.57623 | − | 4.77791i | −0.323987 | − | 0.235391i | ||||
\(413\) | −8.49774 | − | 6.17397i | −0.418146 | − | 0.303801i | ||||
\(414\) | 20.3355 | − | 14.7746i | 0.999436 | − | 0.726133i | ||||
\(415\) | 1.88310 | − | 10.6100i | 0.0924379 | − | 0.520824i | ||||
\(416\) | 0.624050 | + | 0.453399i | 0.0305966 | + | 0.0222297i | ||||
\(417\) | −0.564272 | − | 1.73665i | −0.0276325 | − | 0.0850441i | ||||
\(418\) | 22.7156 | 1.11106 | ||||||||
\(419\) | 7.60701 | + | 23.4120i | 0.371627 | + | 1.14375i | 0.945726 | + | 0.324964i | \(0.105352\pi\) |
−0.574099 | + | 0.818786i | \(0.694648\pi\) | |||||||
\(420\) | 0.230155 | + | 0.473234i | 0.0112304 | + | 0.0230914i | ||||
\(421\) | 0.558083 | − | 1.71760i | 0.0271993 | − | 0.0837108i | −0.936535 | − | 0.350573i | \(-0.885987\pi\) |
0.963735 | + | 0.266862i | \(0.0859869\pi\) | |||||||
\(422\) | −1.93047 | + | 5.94139i | −0.0939740 | + | 0.289222i | ||||
\(423\) | −26.8807 | + | 19.5300i | −1.30698 | + | 0.949579i | ||||
\(424\) | −8.62080 | −0.418663 | ||||||||
\(425\) | −1.49741 | + | 1.90776i | −0.0726349 | + | 0.0925398i | ||||
\(426\) | −0.0759256 | −0.00367861 | ||||||||
\(427\) | −10.5731 | + | 7.68182i | −0.511669 | + | 0.371749i | ||||
\(428\) | 5.68789 | − | 17.5055i | 0.274934 | − | 0.846161i | ||||
\(429\) | −0.195489 | + | 0.601654i | −0.00943831 | + | 0.0290481i | ||||
\(430\) | −17.3928 | + | 2.42451i | −0.838755 | + | 0.116920i | ||||
\(431\) | 9.19050 | + | 28.2854i | 0.442691 | + | 1.36246i | 0.884996 | + | 0.465598i | \(0.154161\pi\) |
−0.442306 | + | 0.896864i | \(0.645839\pi\) | |||||||
\(432\) | 1.39900 | 0.0673093 | ||||||||
\(433\) | 0.0997250 | + | 0.306922i | 0.00479248 | + | 0.0147497i | 0.953424 | − | 0.301633i | \(-0.0975317\pi\) |
−0.948632 | + | 0.316383i | \(0.897532\pi\) | |||||||
\(434\) | −3.15026 | − | 2.28880i | −0.151217 | − | 0.109866i | ||||
\(435\) | −1.37439 | − | 2.82595i | −0.0658968 | − | 0.135494i | ||||
\(436\) | −11.0616 | + | 8.03675i | −0.529756 | + | 0.384890i | ||||
\(437\) | −45.0159 | − | 32.7060i | −2.15340 | − | 1.56454i | ||||
\(438\) | 1.42981 | + | 1.03882i | 0.0683189 | + | 0.0496366i | ||||
\(439\) | 21.5492 | − | 15.6564i | 1.02849 | − | 0.747241i | 0.0604835 | − | 0.998169i | \(-0.480736\pi\) |
0.968006 | + | 0.250928i | \(0.0807357\pi\) | |||||||
\(440\) | 3.40810 | + | 7.00758i | 0.162475 | + | 0.334073i | ||||
\(441\) | 2.38224 | + | 1.73080i | 0.113440 | + | 0.0824191i | ||||
\(442\) | −0.115619 | − | 0.355838i | −0.00549942 | − | 0.0169255i | ||||
\(443\) | −12.0387 | −0.571976 | −0.285988 | − | 0.958233i | \(-0.592322\pi\) | ||||
−0.285988 | + | 0.958233i | \(0.592322\pi\) | |||||||
\(444\) | −0.0954271 | − | 0.293694i | −0.00452877 | − | 0.0139381i | ||||
\(445\) | −27.1007 | + | 3.77776i | −1.28470 | + | 0.179083i | ||||
\(446\) | −4.67326 | + | 14.3828i | −0.221285 | + | 0.681046i | ||||
\(447\) | −0.956209 | + | 2.94291i | −0.0452271 | + | 0.139195i | ||||
\(448\) | −0.809017 | + | 0.587785i | −0.0382225 | + | 0.0277702i | ||||
\(449\) | 33.9828 | 1.60375 | 0.801873 | − | 0.597494i | \(-0.203837\pi\) | ||||
0.801873 | + | 0.597494i | \(0.203837\pi\) | |||||||
\(450\) | 8.20564 | + | 12.2244i | 0.386817 | + | 0.576265i | ||||
\(451\) | 25.2630 | 1.18959 | ||||||||
\(452\) | 7.29979 | − | 5.30360i | 0.343353 | − | 0.249461i | ||||
\(453\) | 1.01812 | − | 3.13345i | 0.0478354 | − | 0.147222i | ||||
\(454\) | 2.95729 | − | 9.10160i | 0.138793 | − | 0.427159i | ||||
\(455\) | −0.754377 | − | 1.55112i | −0.0353658 | − | 0.0727175i | ||||
\(456\) | −0.474040 | − | 1.45895i | −0.0221990 | − | 0.0683214i | ||||
\(457\) | 25.2138 | 1.17945 | 0.589726 | − | 0.807604i | \(-0.299236\pi\) | ||||
0.589726 | + | 0.807604i | \(0.299236\pi\) | |||||||
\(458\) | −2.86979 | − | 8.83232i | −0.134097 | − | 0.412707i | ||||
\(459\) | −0.548983 | − | 0.398859i | −0.0256243 | − | 0.0186172i | ||||
\(460\) | 3.33563 | − | 18.7940i | 0.155525 | − | 0.876275i | ||||
\(461\) | 3.36558 | − | 2.44524i | 0.156751 | − | 0.113886i | −0.506645 | − | 0.862155i | \(-0.669115\pi\) |
0.663396 | + | 0.748269i | \(0.269115\pi\) | |||||||
\(462\) | −0.663493 | − | 0.482056i | −0.0308685 | − | 0.0224273i | ||||
\(463\) | −8.78033 | − | 6.37929i | −0.408057 | − | 0.296471i | 0.364758 | − | 0.931102i | \(-0.381152\pi\) |
−0.772815 | + | 0.634632i | \(0.781152\pi\) | |||||||
\(464\) | 4.83111 | − | 3.51000i | 0.224279 | − | 0.162948i | ||||
\(465\) | 1.80818 | + | 0.964031i | 0.0838525 | + | 0.0447059i | ||||
\(466\) | −8.74437 | − | 6.35316i | −0.405075 | − | 0.294304i | ||||
\(467\) | 4.44159 | + | 13.6698i | 0.205532 | + | 0.632563i | 0.999691 | + | 0.0248529i | \(0.00791175\pi\) |
−0.794159 | + | 0.607710i | \(0.792088\pi\) | |||||||
\(468\) | −2.27138 | −0.104995 | ||||||||
\(469\) | 2.45478 | + | 7.55504i | 0.113351 | + | 0.348860i | ||||
\(470\) | −4.40923 | + | 24.8430i | −0.203383 | + | 1.14592i | ||||
\(471\) | −0.236565 | + | 0.728073i | −0.0109003 | + | 0.0335478i | ||||
\(472\) | −3.24585 | + | 9.98969i | −0.149402 | + | 0.459813i | ||||
\(473\) | 22.1415 | − | 16.0867i | 1.01807 | − | 0.739668i | ||||
\(474\) | 0.252255 | 0.0115865 | ||||||||
\(475\) | 20.1231 | − | 25.6377i | 0.923312 | − | 1.17634i | ||||
\(476\) | 0.485047 | 0.0222321 | ||||||||
\(477\) | 20.5368 | − | 14.9209i | 0.940317 | − | 0.683181i | ||||
\(478\) | −4.71512 | + | 14.5116i | −0.215665 | + | 0.663747i | ||||
\(479\) | −8.00683 | + | 24.6425i | −0.365841 | + | 1.12594i | 0.583611 | + | 0.812033i | \(0.301639\pi\) |
−0.949453 | + | 0.313911i | \(0.898361\pi\) | |||||||
\(480\) | 0.378950 | − | 0.365128i | 0.0172966 | − | 0.0166657i | ||||
\(481\) | 0.312781 | + | 0.962641i | 0.0142616 | + | 0.0438927i | ||||
\(482\) | −5.51172 | −0.251052 | ||||||||
\(483\) | 0.620790 | + | 1.91059i | 0.0282469 | + | 0.0869351i | ||||
\(484\) | −0.925721 | − | 0.672576i | −0.0420782 | − | 0.0305716i | ||||
\(485\) | −1.77224 | + | 1.70760i | −0.0804735 | + | 0.0775381i | ||||
\(486\) | −5.01466 | + | 3.64336i | −0.227469 | + | 0.165266i | ||||
\(487\) | 14.9597 | + | 10.8688i | 0.677887 | + | 0.492514i | 0.872656 | − | 0.488335i | \(-0.162396\pi\) |
−0.194769 | + | 0.980849i | \(0.562396\pi\) | |||||||
\(488\) | 10.5731 | + | 7.68182i | 0.478622 | + | 0.347740i | ||||
\(489\) | 1.72655 | − | 1.25441i | 0.0780771 | − | 0.0567263i | ||||
\(490\) | 2.21465 | − | 0.308716i | 0.100048 | − | 0.0139464i | ||||
\(491\) | 5.81886 | + | 4.22765i | 0.262601 | + | 0.190791i | 0.711293 | − | 0.702895i | \(-0.248110\pi\) |
−0.448692 | + | 0.893687i | \(0.648110\pi\) | |||||||
\(492\) | −0.527199 | − | 1.62255i | −0.0237680 | − | 0.0731503i | ||||
\(493\) | −2.89650 | −0.130452 | ||||||||
\(494\) | 1.55376 | + | 4.78198i | 0.0699069 | + | 0.215151i | ||||
\(495\) | −20.2476 | − | 10.7950i | −0.910064 | − | 0.485200i | ||||
\(496\) | −1.20329 | + | 3.70335i | −0.0540294 | + | 0.166285i | ||||
\(497\) | −0.0996959 | + | 0.306832i | −0.00447197 | + | 0.0137633i | ||||
\(498\) | 0.917521 | − | 0.666618i | 0.0411151 | − | 0.0298719i | ||||
\(499\) | 20.1574 | 0.902369 | 0.451185 | − | 0.892431i | \(-0.351002\pi\) | ||||
0.451185 | + | 0.892431i | \(0.351002\pi\) | |||||||
\(500\) | 10.9281 | + | 2.36131i | 0.488721 | + | 0.105601i | ||||
\(501\) | 2.40421 | 0.107412 | ||||||||
\(502\) | 23.8507 | − | 17.3286i | 1.06451 | − | 0.773412i | ||||
\(503\) | −5.77298 | + | 17.7674i | −0.257404 | + | 0.792209i | 0.735942 | + | 0.677045i | \(0.236740\pi\) |
−0.993346 | + | 0.115165i | \(0.963260\pi\) | |||||||
\(504\) | 0.909936 | − | 2.80050i | 0.0405318 | − | 0.124744i | ||||
\(505\) | 25.8771 | + | 13.7963i | 1.15151 | + | 0.613929i | ||||
\(506\) | 9.19256 | + | 28.2918i | 0.408659 | + | 1.25772i | ||||
\(507\) | 2.91937 | 0.129654 | ||||||||
\(508\) | 0.984540 | + | 3.03010i | 0.0436819 | + | 0.134439i | ||||
\(509\) | 32.8443 | + | 23.8628i | 1.45580 | + | 1.05770i | 0.984432 | + | 0.175764i | \(0.0562394\pi\) |
0.471367 | + | 0.881937i | \(0.343761\pi\) | |||||||
\(510\) | −0.252804 | + | 0.0352401i | −0.0111943 | + | 0.00156046i | ||||
\(511\) | 6.07554 | − | 4.41414i | 0.268766 | − | 0.195270i | ||||
\(512\) | 0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | ||||
\(513\) | 7.37758 | + | 5.36013i | 0.325728 | + | 0.236655i | ||||
\(514\) | 16.7724 | − | 12.1858i | 0.739798 | − | 0.537495i | ||||
\(515\) | 13.0890 | − | 12.6116i | 0.576772 | − | 0.555734i | ||||
\(516\) | −1.49525 | − | 1.08636i | −0.0658248 | − | 0.0478245i | ||||
\(517\) | −12.1513 | − | 37.3978i | −0.534412 | − | 1.64475i | ||||
\(518\) | −1.31219 | −0.0576542 | ||||||||
\(519\) | 1.01950 | + | 3.13771i | 0.0447513 | + | 0.137730i | ||||
\(520\) | −1.24208 | + | 1.19678i | −0.0544690 | + | 0.0524821i | ||||
\(521\) | 6.88288 | − | 21.1833i | 0.301545 | − | 0.928059i | −0.679399 | − | 0.733769i | \(-0.737760\pi\) |
0.980944 | − | 0.194290i | \(-0.0622404\pi\) | |||||||
\(522\) | −5.43375 | + | 16.7234i | −0.237829 | + | 0.731962i | ||||
\(523\) | 18.1082 | − | 13.1564i | 0.791816 | − | 0.575288i | −0.116686 | − | 0.993169i | \(-0.537227\pi\) |
0.908502 | + | 0.417881i | \(0.137227\pi\) | |||||||
\(524\) | −7.58987 | −0.331565 | ||||||||
\(525\) | −1.13184 | + | 0.321802i | −0.0493973 | + | 0.0140446i | ||||
\(526\) | 16.7404 | 0.729916 | ||||||||
\(527\) | 1.52802 | − | 1.11017i | 0.0665618 | − | 0.0483599i | ||||
\(528\) | −0.253432 | + | 0.779983i | −0.0110292 | + | 0.0339444i | ||||
\(529\) | 15.4101 | − | 47.4274i | 0.670005 | − | 2.06206i | ||||
\(530\) | 3.36865 | − | 18.9801i | 0.146325 | − | 0.824441i | ||||
\(531\) | −9.55777 | − | 29.4158i | −0.414772 | − | 1.27654i | ||||
\(532\) | −6.51837 | −0.282607 | ||||||||
\(533\) | 1.72800 | + | 5.31823i | 0.0748479 | + | 0.230358i | ||||
\(534\) | −2.32984 | − | 1.69273i | −0.100822 | − | 0.0732515i | ||||
\(535\) | 36.3186 | + | 19.3632i | 1.57019 | + | 0.837146i | ||||
\(536\) | 6.42670 | − | 4.66927i | 0.277591 | − | 0.201682i | ||||
\(537\) | 1.19084 | + | 0.865196i | 0.0513886 | + | 0.0373360i | ||||
\(538\) | −2.02013 | − | 1.46771i | −0.0870939 | − | 0.0632774i | ||||
\(539\) | −2.81931 | + | 2.04835i | −0.121436 | + | 0.0882287i | ||||
\(540\) | −0.546671 | + | 3.08012i | −0.0235250 | + | 0.132547i | ||||
\(541\) | −26.3123 | − | 19.1170i | −1.13125 | − | 0.821904i | −0.145377 | − | 0.989376i | \(-0.546439\pi\) |
−0.985877 | + | 0.167473i | \(0.946439\pi\) | |||||||
\(542\) | −4.04834 | − | 12.4595i | −0.173891 | − | 0.535182i | ||||
\(543\) | −0.699052 | −0.0299992 | ||||||||
\(544\) | −0.149888 | − | 0.461307i | −0.00642638 | − | 0.0197784i | ||||
\(545\) | −13.3717 | − | 27.4944i | −0.572783 | − | 1.17773i | ||||
\(546\) | 0.0560967 | − | 0.172648i | 0.00240072 | − | 0.00738865i | ||||
\(547\) | 12.6968 | − | 39.0768i | 0.542876 | − | 1.67080i | −0.183110 | − | 0.983092i | \(-0.558616\pi\) |
0.725986 | − | 0.687709i | \(-0.241384\pi\) | |||||||
\(548\) | 9.43305 | − | 6.85351i | 0.402960 | − | 0.292767i | ||||
\(549\) | −38.4834 | −1.64243 | ||||||||
\(550\) | −16.7600 | + | 4.76520i | −0.714651 | + | 0.203189i | ||||
\(551\) | 38.9250 | 1.65826 | ||||||||
\(552\) | 1.62525 | − | 1.18081i | 0.0691752 | − | 0.0502587i | ||||
\(553\) | 0.331230 | − | 1.01942i | 0.0140853 | − | 0.0433501i | ||||
\(554\) | −5.08856 | + | 15.6610i | −0.216192 | + | 0.665371i | ||||
\(555\) | 0.683904 | − | 0.0953343i | 0.0290301 | − | 0.00404672i | ||||
\(556\) | 2.39770 | + | 7.37937i | 0.101685 | + | 0.312955i | ||||
\(557\) | −35.3007 | −1.49574 | −0.747870 | − | 0.663845i | \(-0.768923\pi\) | ||||
−0.747870 | + | 0.663845i | \(0.768923\pi\) | |||||||
\(558\) | −3.54323 | − | 10.9049i | −0.149997 | − | 0.461643i | ||||
\(559\) | 4.90098 | + | 3.56077i | 0.207289 | + | 0.150605i | ||||
\(560\) | −0.977973 | − | 2.01086i | −0.0413269 | − | 0.0849745i | ||||
\(561\) | 0.321825 | − | 0.233820i | 0.0135875 | − | 0.00987188i | ||||
\(562\) | 18.3772 | + | 13.3518i | 0.775196 | + | 0.563213i | ||||
\(563\) | 0.0515701 | + | 0.0374679i | 0.00217342 | + | 0.00157908i | 0.588871 | − | 0.808227i | \(-0.299572\pi\) |
−0.586698 | + | 0.809806i | \(0.699572\pi\) | |||||||
\(564\) | −2.14835 | + | 1.56087i | −0.0904618 | + | 0.0657244i | ||||
\(565\) | 8.82428 | + | 18.1441i | 0.371240 | + | 0.763327i | ||||
\(566\) | 11.6719 | + | 8.48013i | 0.490606 | + | 0.356446i | ||||
\(567\) | 2.62807 | + | 8.08836i | 0.110369 | + | 0.339679i | ||||
\(568\) | 0.322623 | 0.0135370 | ||||||||
\(569\) | −9.88280 | − | 30.4161i | −0.414309 | − | 1.27511i | −0.912868 | − | 0.408255i | \(-0.866137\pi\) |
0.498559 | − | 0.866856i | \(-0.333863\pi\) | |||||||
\(570\) | 3.39734 | − | 0.473579i | 0.142299 | − | 0.0198360i | ||||
\(571\) | −13.1665 | + | 40.5224i | −0.551002 | + | 1.69581i | 0.155272 | + | 0.987872i | \(0.450375\pi\) |
−0.706274 | + | 0.707939i | \(0.749625\pi\) | |||||||
\(572\) | 0.830672 | − | 2.55655i | 0.0347322 | − | 0.106895i | ||||
\(573\) | −4.07869 | + | 2.96334i | −0.170390 | + | 0.123796i | ||||
\(574\) | −7.24935 | −0.302582 | ||||||||
\(575\) | 40.0746 | + | 14.6878i | 1.67122 | + | 0.612526i | ||||
\(576\) | −2.94462 | −0.122692 | ||||||||
\(577\) | 1.86947 | − | 1.35825i | 0.0778270 | − | 0.0565446i | −0.548191 | − | 0.836353i | \(-0.684683\pi\) |
0.626018 | + | 0.779808i | \(0.284683\pi\) | |||||||
\(578\) | 5.18059 | − | 15.9442i | 0.215484 | − | 0.663192i | ||||
\(579\) | −1.59965 | + | 4.92322i | −0.0664793 | + | 0.204602i | ||||
\(580\) | 5.84004 | + | 12.0080i | 0.242494 | + | 0.498606i | ||||
\(581\) | −1.48918 | − | 4.58323i | −0.0617816 | − | 0.190144i | ||||
\(582\) | −0.259017 | −0.0107366 | ||||||||
\(583\) | 9.28357 | + | 28.5719i | 0.384486 | + | 1.18333i | ||||
\(584\) | −6.07554 | − | 4.41414i | −0.251408 | − | 0.182658i | ||||
\(585\) | 0.887564 | − | 5.00082i | 0.0366962 | − | 0.206758i | ||||
\(586\) | −22.4213 | + | 16.2900i | −0.926215 | + | 0.672934i | ||||
\(587\) | 10.1285 | + | 7.35882i | 0.418050 | + | 0.303731i | 0.776853 | − | 0.629682i | \(-0.216815\pi\) |
−0.358803 | + | 0.933413i | \(0.616815\pi\) | |||||||
\(588\) | 0.190393 | + | 0.138329i | 0.00785167 | + | 0.00570458i | ||||
\(589\) | −20.5346 | + | 14.9192i | −0.846112 | + | 0.614736i | ||||
\(590\) | −20.7256 | − | 11.0498i | −0.853257 | − | 0.454913i | ||||
\(591\) | −0.456639 | − | 0.331768i | −0.0187836 | − | 0.0136471i | ||||
\(592\) | 0.405488 | + | 1.24797i | 0.0166655 | + | 0.0512911i | ||||
\(593\) | 34.7754 | 1.42805 | 0.714027 | − | 0.700118i | \(-0.246870\pi\) | ||||
0.714027 | + | 0.700118i | \(0.246870\pi\) | |||||||
\(594\) | −1.50655 | − | 4.63670i | −0.0618147 | − | 0.190246i | ||||
\(595\) | −0.189536 | + | 1.06791i | −0.00777024 | + | 0.0437800i | ||||
\(596\) | 4.06312 | − | 12.5050i | 0.166432 | − | 0.512224i | ||||
\(597\) | −0.0358782 | + | 0.110422i | −0.00146840 | + | 0.00451927i | ||||
\(598\) | −5.32707 | + | 3.87034i | −0.217840 | + | 0.158270i | ||||
\(599\) | −14.4475 | −0.590308 | −0.295154 | − | 0.955450i | \(-0.595371\pi\) | ||||
−0.295154 | + | 0.955450i | \(0.595371\pi\) | |||||||
\(600\) | 0.655808 | + | 0.976997i | 0.0267733 | + | 0.0398857i | ||||
\(601\) | −13.7849 | −0.562298 | −0.281149 | − | 0.959664i | \(-0.590716\pi\) | ||||
−0.281149 | + | 0.959664i | \(0.590716\pi\) | |||||||
\(602\) | −6.35362 | + | 4.61617i | −0.258954 | + | 0.188141i | ||||
\(603\) | −7.22839 | + | 22.2467i | −0.294363 | + | 0.905956i | ||||
\(604\) | −4.32619 | + | 13.3146i | −0.176030 | + | 0.541765i | ||||
\(605\) | 1.84252 | − | 1.77531i | 0.0749090 | − | 0.0721765i | ||||
\(606\) | 0.953740 | + | 2.93531i | 0.0387430 | + | 0.119239i | ||||
\(607\) | 24.7641 | 1.00514 | 0.502572 | − | 0.864535i | \(-0.332387\pi\) | ||||
0.502572 | + | 0.864535i | \(0.332387\pi\) | |||||||
\(608\) | 2.01429 | + | 6.19934i | 0.0816902 | + | 0.251417i | ||||
\(609\) | −1.13695 | − | 0.826040i | −0.0460714 | − | 0.0334728i | ||||
\(610\) | −21.0443 | + | 20.2767i | −0.852059 | + | 0.820978i | ||||
\(611\) | 7.04164 | − | 5.11605i | 0.284874 | − | 0.206973i | ||||
\(612\) | 1.15550 | + | 0.839520i | 0.0467083 | + | 0.0339356i | ||||
\(613\) | −13.0410 | − | 9.47485i | −0.526721 | − | 0.382686i | 0.292409 | − | 0.956293i | \(-0.405543\pi\) |
−0.819130 | + | 0.573608i | \(0.805543\pi\) | |||||||
\(614\) | −4.94379 | + | 3.59188i | −0.199515 | + | 0.144956i | ||||
\(615\) | 3.77832 | − | 0.526686i | 0.152356 | − | 0.0212380i | ||||
\(616\) | 2.81931 | + | 2.04835i | 0.113593 | + | 0.0825304i | ||||
\(617\) | −13.5170 | − | 41.6010i | −0.544173 | − | 1.67479i | −0.722948 | − | 0.690903i | \(-0.757213\pi\) |
0.178775 | − | 0.983890i | \(-0.442787\pi\) | |||||||
\(618\) | 1.91299 | 0.0769517 | ||||||||
\(619\) | −0.756922 | − | 2.32957i | −0.0304233 | − | 0.0936332i | 0.934692 | − | 0.355459i | \(-0.115675\pi\) |
−0.965115 | + | 0.261826i | \(0.915675\pi\) | |||||||
\(620\) | −7.68332 | − | 4.09636i | −0.308570 | − | 0.164514i | ||||
\(621\) | −3.69036 | + | 11.3578i | −0.148089 | + | 0.455771i | ||||
\(622\) | −6.54222 | + | 20.1349i | −0.262319 | + | 0.807335i | ||||
\(623\) | −9.89994 | + | 7.19273i | −0.396633 | + | 0.288171i | ||||
\(624\) | −0.181533 | −0.00726713 | ||||||||
\(625\) | −9.46908 | + | 23.1373i | −0.378763 | + | 0.925494i | ||||
\(626\) | 7.30648 | 0.292026 | ||||||||
\(627\) | −4.32490 | + | 3.14222i | −0.172720 | + | 0.125488i | ||||
\(628\) | 1.00521 | − | 3.09372i | 0.0401123 | − | 0.123453i | ||||
\(629\) | 0.196681 | − | 0.605322i | 0.00784218 | − | 0.0241358i | ||||
\(630\) | 5.81017 | + | 3.09769i | 0.231483 | + | 0.123415i | ||||
\(631\) | −4.99072 | − | 15.3598i | −0.198677 | − | 0.611466i | −0.999914 | − | 0.0131183i | \(-0.995824\pi\) |
0.801237 | − | 0.598348i | \(-0.204176\pi\) | |||||||
\(632\) | −1.07188 | −0.0426372 | ||||||||
\(633\) | −0.454315 | − | 1.39824i | −0.0180574 | − | 0.0555750i | ||||
\(634\) | −8.70202 | − | 6.32239i | −0.345601 | − | 0.251094i | ||||
\(635\) | −7.05598 | + | 0.983583i | −0.280008 | + | 0.0390323i | ||||
\(636\) | 1.64134 | − | 1.19250i | 0.0650833 | − | 0.0472858i | ||||
\(637\) | −0.624050 | − | 0.453399i | −0.0247258 | − | 0.0179643i | ||||
\(638\) | −16.8357 | − | 12.2319i | −0.666533 | − | 0.484265i | ||||
\(639\) | −0.768566 | + | 0.558396i | −0.0304040 | + | 0.0220898i | ||||
\(640\) | −1.61023 | + | 1.55150i | −0.0636501 | + | 0.0613283i | ||||
\(641\) | −23.7578 | − | 17.2610i | −0.938375 | − | 0.681769i | 0.00965388 | − | 0.999953i | \(-0.496927\pi\) |
−0.948029 | + | 0.318184i | \(0.896927\pi\) | |||||||
\(642\) | 1.33858 | + | 4.11973i | 0.0528295 | + | 0.162593i | ||||
\(643\) | −1.12149 | −0.0442273 | −0.0221136 | − | 0.999755i | \(-0.507040\pi\) | ||||
−0.0221136 | + | 0.999755i | \(0.507040\pi\) | |||||||
\(644\) | −2.63786 | − | 8.11849i | −0.103946 | − | 0.319913i | ||||
\(645\) | 2.97609 | − | 2.86753i | 0.117183 | − | 0.112909i | ||||
\(646\) | 0.977025 | − | 3.00697i | 0.0384405 | − | 0.118308i | ||||
\(647\) | −10.3490 | + | 31.8510i | −0.406862 | + | 1.25219i | 0.512468 | + | 0.858706i | \(0.328731\pi\) |
−0.919330 | + | 0.393487i | \(0.871269\pi\) | |||||||
\(648\) | 6.88037 | − | 4.99888i | 0.270287 | − | 0.196375i | ||||
\(649\) | 36.6042 | 1.43684 | ||||||||
\(650\) | −2.14954 | − | 3.20230i | −0.0843119 | − | 0.125604i | ||||
\(651\) | 0.916393 | 0.0359163 | ||||||||
\(652\) | −7.33643 | + | 5.33023i | −0.287317 | + | 0.208748i | ||||
\(653\) | 11.5699 | − | 35.6086i | 0.452767 | − | 1.39347i | −0.420970 | − | 0.907074i | \(-0.638310\pi\) |
0.873737 | − | 0.486398i | \(-0.161690\pi\) | |||||||
\(654\) | 0.994345 | − | 3.06028i | 0.0388820 | − | 0.119666i | ||||
\(655\) | 2.96581 | − | 16.7103i | 0.115884 | − | 0.652926i | ||||
\(656\) | 2.24017 | + | 6.89454i | 0.0874640 | + | 0.269187i | ||||
\(657\) | 22.1134 | 0.862727 | ||||||||
\(658\) | 3.48688 | + | 10.7315i | 0.135933 | + | 0.418357i | ||||
\(659\) | −0.596695 | − | 0.433524i | −0.0232439 | − | 0.0168877i | 0.576103 | − | 0.817377i | \(-0.304573\pi\) |
−0.599347 | + | 0.800490i | \(0.704573\pi\) | |||||||
\(660\) | −1.61823 | − | 0.862756i | −0.0629894 | − | 0.0335827i | ||||
\(661\) | −4.33304 | + | 3.14814i | −0.168536 | + | 0.122448i | −0.668856 | − | 0.743392i | \(-0.733216\pi\) |
0.500320 | + | 0.865840i | \(0.333216\pi\) | |||||||
\(662\) | 17.8516 | + | 12.9699i | 0.693822 | + | 0.504091i | ||||
\(663\) | 0.0712355 | + | 0.0517556i | 0.00276656 | + | 0.00201002i | ||||
\(664\) | −3.89872 | + | 2.83259i | −0.151300 | + | 0.109926i | ||||
\(665\) | 2.54711 | − | 14.3512i | 0.0987728 | − | 0.556517i | ||||
\(666\) | −3.12595 | − | 2.27114i | −0.121128 | − | 0.0880048i | ||||
\(667\) | 15.7522 | + | 48.4802i | 0.609926 | + | 1.87716i | ||||
\(668\) | −10.2160 | −0.395268 | ||||||||
\(669\) | −1.09980 | − | 3.38483i | −0.0425207 | − | 0.130865i | ||||
\(670\) | 7.76886 | + | 15.9740i | 0.300137 | + | 0.617129i | ||||
\(671\) | 14.0739 | − | 43.3149i | 0.543315 | − | 1.67215i | ||||
\(672\) | 0.0727237 | − | 0.223820i | 0.00280538 | − | 0.00863406i | ||||
\(673\) | 9.38039 | − | 6.81525i | 0.361587 | − | 0.262709i | −0.392127 | − | 0.919911i | \(-0.628260\pi\) |
0.753714 | + | 0.657203i | \(0.228260\pi\) | |||||||
\(674\) | −30.5750 | −1.17771 | ||||||||
\(675\) | −6.56776 | − | 2.40717i | −0.252793 | − | 0.0926519i | ||||
\(676\) | −12.4050 | −0.477115 | ||||||||
\(677\) | −21.9441 | + | 15.9433i | −0.843381 | + | 0.612752i | −0.923313 | − | 0.384048i | \(-0.874530\pi\) |
0.0799322 | + | 0.996800i | \(0.474530\pi\) | |||||||
\(678\) | −0.656188 | + | 2.01954i | −0.0252007 | + | 0.0775599i | ||||
\(679\) | −0.340108 | + | 1.04675i | −0.0130522 | + | 0.0401704i | ||||
\(680\) | 1.07421 | − | 0.149742i | 0.0411941 | − | 0.00574234i | ||||
\(681\) | 0.695965 | + | 2.14196i | 0.0266694 | + | 0.0820801i | ||||
\(682\) | 13.5698 | 0.519615 | ||||||||
\(683\) | −0.949135 | − | 2.92114i | −0.0363176 | − | 0.111774i | 0.931254 | − | 0.364370i | \(-0.118716\pi\) |
−0.967572 | + | 0.252596i | \(0.918716\pi\) | |||||||
\(684\) | −15.5284 | − | 11.2820i | −0.593742 | − | 0.431379i | ||||
\(685\) | 11.4030 | + | 23.4464i | 0.435688 | + | 0.895842i | ||||
\(686\) | 0.809017 | − | 0.587785i | 0.0308884 | − | 0.0224417i | ||||
\(687\) | 1.76815 | + | 1.28464i | 0.0674592 | + | 0.0490120i | ||||
\(688\) | 6.35362 | + | 4.61617i | 0.242229 | + | 0.175990i | ||||
\(689\) | −5.37981 | + | 3.90866i | −0.204954 | + | 0.148908i | ||||
\(690\) | 1.96467 | + | 4.03966i | 0.0747936 | + | 0.153787i | ||||
\(691\) | −28.4788 | − | 20.6910i | −1.08338 | − | 0.787124i | −0.105113 | − | 0.994460i | \(-0.533520\pi\) |
−0.978270 | + | 0.207337i | \(0.933520\pi\) | |||||||
\(692\) | −4.33207 | − | 13.3328i | −0.164681 | − | 0.506835i | ||||
\(693\) | −10.2616 | −0.389805 | ||||||||
\(694\) | 4.63033 | + | 14.2507i | 0.175765 | + | 0.540948i | ||||
\(695\) | −17.1838 | + | 2.39537i | −0.651818 | + | 0.0908616i | ||||
\(696\) | −0.434275 | + | 1.33656i | −0.0164611 | + | 0.0506622i | ||||
\(697\) | 1.08659 | − | 3.34418i | 0.0411575 | − | 0.126670i | ||||
\(698\) | −1.44555 | + | 1.05026i | −0.0547150 | + | 0.0397528i | ||||
\(699\) | 2.54369 | 0.0962112 | ||||||||
\(700\) | 4.80939 | − | 1.36740i | 0.181778 | − | 0.0516829i | ||||
\(701\) | −22.4188 | −0.846746 | −0.423373 | − | 0.905956i | \(-0.639154\pi\) | ||||
−0.423373 | + | 0.905956i | \(0.639154\pi\) | |||||||
\(702\) | 0.873045 | − | 0.634304i | 0.0329510 | − | 0.0239403i | ||||
\(703\) | −2.64313 | + | 8.13470i | −0.0996874 | + | 0.306806i | ||||
\(704\) | 1.07688 | − | 3.31430i | 0.0405865 | − | 0.124912i | ||||
\(705\) | −2.59701 | − | 5.33986i | −0.0978092 | − | 0.201111i | ||||
\(706\) | −7.29026 | − | 22.4371i | −0.274372 | − | 0.844431i | ||||
\(707\) | 13.1146 | 0.493224 | ||||||||
\(708\) | −0.763873 | − | 2.35096i | −0.0287081 | − | 0.0883545i | ||||
\(709\) | 6.26029 | + | 4.54837i | 0.235110 | + | 0.170818i | 0.699102 | − | 0.715022i | \(-0.253583\pi\) |
−0.463992 | + | 0.885839i | \(0.653583\pi\) | |||||||
\(710\) | −0.126068 | + | 0.710306i | −0.00473124 | + | 0.0266573i | ||||
\(711\) | 2.55348 | − | 1.85521i | 0.0957631 | − | 0.0695760i | ||||
\(712\) | 9.89994 | + | 7.19273i | 0.371016 | + | 0.269559i | ||||
\(713\) | −26.8915 | − | 19.5378i | −1.00709 | − | 0.731697i | ||||
\(714\) | −0.0923495 | + | 0.0670959i | −0.00345610 | + | 0.00251100i | ||||
\(715\) | 5.30405 | + | 2.82785i | 0.198360 | + | 0.105756i | ||||
\(716\) | −5.06011 | − | 3.67639i | −0.189105 | − | 0.137393i | ||||
\(717\) | −1.10965 | − | 3.41515i | −0.0414406 | − | 0.127541i | ||||
\(718\) | −7.23767 | −0.270107 | ||||||||
\(719\) | −13.4264 | − | 41.3221i | −0.500719 | − | 1.54105i | −0.807851 | − | 0.589387i | \(-0.799369\pi\) |
0.307132 | − | 0.951667i | \(-0.400631\pi\) | |||||||
\(720\) | 1.15064 | − | 6.48304i | 0.0428816 | − | 0.241609i | ||||
\(721\) | 2.51189 | − | 7.73082i | 0.0935479 | − | 0.287911i | ||||
\(722\) | −7.25856 | + | 22.3396i | −0.270136 | + | 0.831392i | ||||
\(723\) | 1.04939 | − | 0.762429i | 0.0390274 | − | 0.0283550i | ||||
\(724\) | 2.97041 | 0.110394 | ||||||||
\(725\) | −28.7196 | + | 8.16554i | −1.06662 | + | 0.303260i | ||||
\(726\) | 0.269287 | 0.00999419 | ||||||||
\(727\) | −32.0382 | + | 23.2771i | −1.18823 | + | 0.863302i | −0.993076 | − | 0.117471i | \(-0.962521\pi\) |
−0.195156 | + | 0.980772i | \(0.562521\pi\) | |||||||
\(728\) | −0.238366 | + | 0.733615i | −0.00883443 | + | 0.0271896i | ||||
\(729\) | −7.43343 | + | 22.8777i | −0.275312 | + | 0.847324i | ||||
\(730\) | 12.0925 | − | 11.6514i | 0.447564 | − | 0.431238i | ||||
\(731\) | −1.17714 | − | 3.62288i | −0.0435382 | − | 0.133997i | ||||
\(732\) | −3.07566 | −0.113680 | ||||||||
\(733\) | −4.05824 | − | 12.4900i | −0.149895 | − | 0.461328i | 0.847713 | − | 0.530455i | \(-0.177979\pi\) |
−0.997608 | + | 0.0691266i | \(0.977979\pi\) | |||||||
\(734\) | −6.98531 | − | 5.07512i | −0.257832 | − | 0.187326i | ||||
\(735\) | −0.378950 | + | 0.365128i | −0.0139778 | + | 0.0134679i | ||||
\(736\) | −6.90600 | + | 5.01750i | −0.254559 | + | 0.184948i | ||||
\(737\) | −22.3962 | − | 16.2718i | −0.824974 | − | 0.599378i | ||||
\(738\) | −17.2697 | − | 12.5472i | −0.635707 | − | 0.461868i | ||||
\(739\) | −6.93549 | + | 5.03893i | −0.255126 | + | 0.185360i | −0.707996 | − | 0.706217i | \(-0.750400\pi\) |
0.452870 | + | 0.891577i | \(0.350400\pi\) | |||||||
\(740\) | −2.90604 | + | 0.405094i | −0.106828 | + | 0.0148916i | ||||
\(741\) | −0.957309 | − | 0.695526i | −0.0351676 | − | 0.0255508i | ||||
\(742\) | −2.66397 | − | 8.19887i | −0.0977975 | − | 0.300990i | ||||
\(743\) | 19.8755 | 0.729162 | 0.364581 | − | 0.931172i | \(-0.381212\pi\) | ||||
0.364581 | + | 0.931172i | \(0.381212\pi\) | |||||||
\(744\) | −0.283181 | − | 0.871542i | −0.0103819 | − | 0.0319523i | ||||
\(745\) | 25.9440 | + | 13.8320i | 0.950516 | + | 0.506767i | ||||
\(746\) | −8.26351 | + | 25.4325i | −0.302549 | + | 0.931149i | ||||
\(747\) | 4.38506 | − | 13.4958i | 0.160441 | − | 0.493787i | ||||
\(748\) | −1.36750 | + | 0.993546i | −0.0500007 | + | 0.0363276i | ||||
\(749\) | 18.4064 | 0.672555 | ||||||||
\(750\) | −2.40728 | + | 1.06210i | −0.0879014 | + | 0.0387823i | ||||
\(751\) | 20.4537 | 0.746365 | 0.373183 | − | 0.927758i | \(-0.378266\pi\) | ||||
0.373183 | + | 0.927758i | \(0.378266\pi\) | |||||||
\(752\) | 9.12876 | − | 6.63243i | 0.332892 | − | 0.241860i | ||||
\(753\) | −2.14397 | + | 6.59848i | −0.0781308 | + | 0.240462i | ||||
\(754\) | 1.42342 | − | 4.38084i | 0.0518379 | − | 0.159541i | ||||
\(755\) | −27.6238 | − | 14.7276i | −1.00533 | − | 0.535992i | ||||
\(756\) | 0.432314 | + | 1.33053i | 0.0157231 | + | 0.0483908i | ||||
\(757\) | 10.7856 | 0.392008 | 0.196004 | − | 0.980603i | \(-0.437203\pi\) | ||||
0.196004 | + | 0.980603i | \(0.437203\pi\) | |||||||
\(758\) | 1.22610 | + | 3.77354i | 0.0445339 | + | 0.137061i | ||||
\(759\) | −5.66377 | − | 4.11497i | −0.205582 | − | 0.149364i | ||||
\(760\) | −14.4359 | + | 2.01233i | −0.523647 | + | 0.0729949i | ||||
\(761\) | 30.0238 | − | 21.8135i | 1.08836 | − | 0.790740i | 0.109239 | − | 0.994016i | \(-0.465159\pi\) |
0.979122 | + | 0.203276i | \(0.0651587\pi\) | |||||||
\(762\) | −0.606600 | − | 0.440720i | −0.0219748 | − | 0.0159656i | ||||
\(763\) | −11.0616 | − | 8.03675i | −0.400458 | − | 0.290950i | ||||
\(764\) | 17.3312 | − | 12.5918i | 0.627020 | − | 0.455556i | ||||
\(765\) | −2.29986 | + | 2.21597i | −0.0831516 | + | 0.0801185i | ||||
\(766\) | −1.79790 | − | 1.30625i | −0.0649606 | − | 0.0471966i | ||||
\(767\) | 2.50374 | + | 7.70573i | 0.0904049 | + | 0.278238i | ||||
\(768\) | −0.235339 | −0.00849205 | ||||||||
\(769\) | 14.3106 | + | 44.0436i | 0.516055 | + | 1.58825i | 0.781354 | + | 0.624088i | \(0.214529\pi\) |
−0.265299 | + | 0.964166i | \(0.585471\pi\) | |||||||
\(770\) | −5.61144 | + | 5.40675i | −0.202222 | + | 0.194846i | ||||
\(771\) | −1.50769 | + | 4.64020i | −0.0542982 | + | 0.167113i | ||||
\(772\) | 6.79724 | − | 20.9197i | 0.244638 | − | 0.752918i | ||||
\(773\) | −39.5991 | + | 28.7705i | −1.42428 | + | 1.03480i | −0.433236 | + | 0.901280i | \(0.642628\pi\) |
−0.991046 | + | 0.133521i | \(0.957372\pi\) | |||||||
\(774\) | −23.1255 | −0.831230 | ||||||||
\(775\) | 12.0211 | − | 15.3154i | 0.431811 | − | 0.550145i | ||||
\(776\) | 1.10061 | 0.0395097 | ||||||||
\(777\) | 0.249831 | − | 0.181513i | 0.00896265 | − | 0.00651175i | ||||
\(778\) | 0.284313 | − | 0.875024i | 0.0101931 | − | 0.0313711i | ||||
\(779\) | −14.6023 | + | 44.9412i | −0.523181 | + | 1.61019i | ||||
\(780\) | 0.0709356 | − | 0.399674i | 0.00253990 | − | 0.0143106i | ||||
\(781\) | −0.347426 | − | 1.06927i | −0.0124319 | − | 0.0382614i | ||||
\(782\) | 4.14050 | 0.148064 | ||||||||
\(783\) | −2.58160 | − | 7.94534i | −0.0922588 | − | 0.283943i | ||||
\(784\) | −0.809017 | − | 0.587785i | −0.0288935 | − | 0.0209923i | ||||
\(785\) | 6.41853 | + | 3.42203i | 0.229087 | + | 0.122138i | ||||
\(786\) | 1.44506 | − | 1.04990i | 0.0515435 | − | 0.0374486i | ||||
\(787\) | −10.5415 | − | 7.65882i | −0.375762 | − | 0.273007i | 0.383834 | − | 0.923402i | \(-0.374603\pi\) |
−0.759596 | + | 0.650395i | \(0.774603\pi\) | |||||||
\(788\) | 1.94035 | + | 1.40975i | 0.0691221 | + | 0.0502202i | ||||
\(789\) | −3.18725 | + | 2.31568i | −0.113469 | + | 0.0824402i | ||||
\(790\) | 0.418847 | − | 2.35992i | 0.0149019 | − | 0.0839621i | ||||
\(791\) | 7.29979 | + | 5.30360i | 0.259550 | + | 0.188574i | ||||
\(792\) | 3.17100 | + | 9.75934i | 0.112677 | + | 0.346783i | ||||
\(793\) | 10.0811 | 0.357990 | ||||||||
\(794\) | 8.42926 | + | 25.9426i | 0.299143 | + | 0.920668i | ||||
\(795\) | 1.98412 | + | 4.07965i | 0.0703694 | + | 0.144690i | ||||
\(796\) | 0.152454 | − | 0.469204i | 0.00540358 | − | 0.0166305i | ||||
\(797\) | 1.81732 | − | 5.59313i | 0.0643727 | − | 0.198119i | −0.913697 | − | 0.406396i | \(-0.866785\pi\) |
0.978070 | + | 0.208277i | \(0.0667855\pi\) | |||||||
\(798\) | 1.24105 | − | 0.901678i | 0.0439328 | − | 0.0319190i | ||||
\(799\) | −5.47316 | −0.193626 | ||||||||
\(800\) | −2.78666 | − | 4.15145i | −0.0985232 | − | 0.146776i | ||||
\(801\) | −36.0333 | −1.27317 | ||||||||
\(802\) | −7.38078 | + | 5.36245i | −0.260624 | + | 0.189355i | ||||
\(803\) | −8.08714 | + | 24.8897i | −0.285389 | + | 0.878337i | ||||
\(804\) | −0.577705 | + | 1.77799i | −0.0203741 | + | 0.0627050i | ||||
\(805\) | 18.9049 | − | 2.63529i | 0.666311 | − | 0.0928818i | ||||
\(806\) | 0.928181 | + | 2.85665i | 0.0326938 | + | 0.100621i | ||||
\(807\) | 0.587644 | 0.0206861 | ||||||||
\(808\) | −4.05263 | − | 12.4727i | −0.142571 | − | 0.438788i | ||||
\(809\) | −25.7185 | − | 18.6856i | −0.904215 | − | 0.656951i | 0.0353303 | − | 0.999376i | \(-0.488752\pi\) |
−0.939545 | + | 0.342425i | \(0.888752\pi\) | |||||||
\(810\) | 8.31727 | + | 17.1016i | 0.292239 | + | 0.600889i | ||||
\(811\) | 26.0990 | − | 18.9620i | 0.916459 | − | 0.665846i | −0.0261814 | − | 0.999657i | \(-0.508335\pi\) |
0.942640 | + | 0.333811i | \(0.108335\pi\) | |||||||
\(812\) | 4.83111 | + | 3.51000i | 0.169539 | + | 0.123177i | ||||
\(813\) | 2.49428 | + | 1.81220i | 0.0874783 | + | 0.0635567i | ||||
\(814\) | 3.69947 | − | 2.68782i | 0.129666 | − | 0.0942081i | ||||
\(815\) | −8.86857 | − | 18.2352i | −0.310653 | − | 0.638750i | ||||
\(816\) | 0.0923495 | + | 0.0670959i | 0.00323288 | + | 0.00234883i | ||||
\(817\) | 15.8192 | + | 48.6865i | 0.553444 | + | 1.70333i | ||||
\(818\) | 34.5433 | 1.20778 | ||||||||
\(819\) | −0.701896 | − | 2.16021i | −0.0245262 | − | 0.0754840i | ||||
\(820\) | −16.0548 | + | 2.23799i | −0.560658 | + | 0.0781541i | ||||
\(821\) | 4.18359 | − | 12.8758i | 0.146008 | − | 0.449367i | −0.851131 | − | 0.524953i | \(-0.824083\pi\) |
0.997139 | + | 0.0755861i | \(0.0240828\pi\) | |||||||
\(822\) | −0.847949 | + | 2.60972i | −0.0295756 | + | 0.0910244i | ||||
\(823\) | −9.78307 | + | 7.10781i | −0.341016 | + | 0.247763i | −0.745091 | − | 0.666963i | \(-0.767594\pi\) |
0.404074 | + | 0.914726i | \(0.367594\pi\) | |||||||
\(824\) | −8.12866 | −0.283175 | ||||||||
\(825\) | 2.53183 | − | 3.22565i | 0.0881471 | − | 0.112303i | ||||
\(826\) | −10.5038 | −0.365473 | ||||||||
\(827\) | −34.4347 | + | 25.0183i | −1.19741 | + | 0.869972i | −0.994028 | − | 0.109127i | \(-0.965195\pi\) |
−0.203386 | + | 0.979099i | \(0.565195\pi\) | |||||||
\(828\) | 7.76748 | − | 23.9058i | 0.269938 | − | 0.830785i | ||||
\(829\) | −1.00809 | + | 3.10257i | −0.0350123 | + | 0.107757i | −0.967035 | − | 0.254642i | \(-0.918042\pi\) |
0.932023 | + | 0.362399i | \(0.118042\pi\) | |||||||
\(830\) | −4.71294 | − | 9.69053i | −0.163588 | − | 0.336363i | ||||
\(831\) | −1.19754 | − | 3.68564i | −0.0415420 | − | 0.127853i | ||||
\(832\) | 0.771369 | 0.0267424 | ||||||||
\(833\) | 0.149888 | + | 0.461307i | 0.00519330 | + | 0.0159833i | ||||
\(834\) | −1.47728 | − | 1.07331i | −0.0511541 | − | 0.0371657i | ||||
\(835\) | 3.99198 | − | 22.4921i | 0.138148 | − | 0.778371i | ||||
\(836\) | 18.3773 | − | 13.3519i | 0.635593 | − | 0.461785i | ||||
\(837\) | 4.40721 | + | 3.20202i | 0.152335 | + | 0.110678i | ||||
\(838\) | 19.9154 | + | 14.4694i | 0.687967 | + | 0.499837i | ||||
\(839\) | −38.7977 | + | 28.1882i | −1.33945 | + | 0.973165i | −0.339982 | + | 0.940432i | \(0.610421\pi\) |
−0.999464 | + | 0.0327330i | \(0.989579\pi\) | |||||||
\(840\) | 0.464359 | + | 0.247573i | 0.0160219 | + | 0.00854207i | ||||
\(841\) | −5.38783 | − | 3.91449i | −0.185787 | − | 0.134982i | ||||
\(842\) | −0.558083 | − | 1.71760i | −0.0192328 | − | 0.0591925i | ||||
\(843\) | −5.34583 | −0.184120 | ||||||||
\(844\) | 1.93047 | + | 5.94139i | 0.0664497 | + | 0.204511i | ||||
\(845\) | 4.84736 | − | 27.3116i | 0.166754 | − | 0.939547i | ||||
\(846\) | −10.2675 | + | 31.6001i | −0.353004 | + | 1.08644i | ||||
\(847\) | 0.353594 | − | 1.08825i | 0.0121496 | − | 0.0373927i | ||||
\(848\) | −6.97437 | + | 5.06718i | −0.239501 | + | 0.174008i | ||||
\(849\) | −3.39529 | −0.116526 | ||||||||
\(850\) | −0.0900769 | + | 2.42356i | −0.00308961 | + | 0.0831275i | ||||
\(851\) | −11.2012 | −0.383973 | ||||||||
\(852\) | −0.0614251 | + | 0.0446280i | −0.00210439 | + | 0.00152893i | ||||
\(853\) | 4.05422 | − | 12.4776i | 0.138814 | − | 0.427225i | −0.857350 | − | 0.514734i | \(-0.827891\pi\) |
0.996164 | + | 0.0875088i | \(0.0278906\pi\) | |||||||
\(854\) | −4.03857 | + | 12.4294i | −0.138197 | + | 0.425327i | ||||
\(855\) | 30.9070 | − | 29.7796i | 1.05700 | − | 1.01844i | ||||
\(856\) | −5.68789 | − | 17.5055i | −0.194408 | − | 0.598326i | ||||
\(857\) | −24.9323 | −0.851672 | −0.425836 | − | 0.904800i | \(-0.640020\pi\) | ||||
−0.425836 | + | 0.904800i | \(0.640020\pi\) | |||||||
\(858\) | 0.195489 | + | 0.601654i | 0.00667389 | + | 0.0205401i | ||||
\(859\) | −41.9386 | − | 30.4702i | −1.43093 | − | 1.03963i | −0.989843 | − | 0.142162i | \(-0.954595\pi\) |
−0.441083 | − | 0.897466i | \(-0.645405\pi\) | |||||||
\(860\) | −12.6460 | + | 12.1847i | −0.431224 | + | 0.415495i | ||||
\(861\) | 1.38023 | − | 1.00279i | 0.0470380 | − | 0.0341751i | ||||
\(862\) | 24.0610 | + | 17.4814i | 0.819522 | + | 0.595418i | ||||
\(863\) | 16.6990 | + | 12.1326i | 0.568442 | + | 0.412997i | 0.834539 | − | 0.550949i | \(-0.185734\pi\) |
−0.266097 | + | 0.963946i | \(0.585734\pi\) | |||||||
\(864\) | 1.13181 | − | 0.822310i | 0.0385051 | − | 0.0279756i | ||||
\(865\) | 31.0470 | − | 4.32786i | 1.05563 | − | 0.147152i | ||||
\(866\) | 0.261083 | + | 0.189688i | 0.00887198 | + | 0.00644587i | ||||
\(867\) | 1.21919 | + | 3.75229i | 0.0414059 | + | 0.127434i | ||||
\(868\) | −3.89393 | −0.132169 | ||||||||
\(869\) | 1.15429 | + | 3.55254i | 0.0391566 | + | 0.120512i | ||||
\(870\) | −2.77296 | − | 1.47840i | −0.0940120 | − | 0.0501224i | ||||
\(871\) | 1.89354 | − | 5.82772i | 0.0641602 | − | 0.197465i | ||||
\(872\) | −4.22517 | + | 13.0037i | −0.143082 | + | 0.440362i | ||||
\(873\) | −2.62193 | + | 1.90494i | −0.0887389 | + | 0.0644726i | ||||
\(874\) | −55.6427 | −1.88214 | ||||||||
\(875\) | 1.13124 | + | 11.1230i | 0.0382429 | + | 0.376025i | ||||
\(876\) | 1.76734 | 0.0597129 | ||||||||
\(877\) | −13.3368 | + | 9.68978i | −0.450353 | + | 0.327200i | −0.789735 | − | 0.613448i | \(-0.789782\pi\) |
0.339382 | + | 0.940649i | \(0.389782\pi\) | |||||||
\(878\) | 8.23108 | − | 25.3327i | 0.277785 | − | 0.854936i | ||||
\(879\) | 2.01548 | − | 6.20301i | 0.0679805 | − | 0.209222i | ||||
\(880\) | 6.87616 | + | 3.66602i | 0.231795 | + | 0.123581i | ||||
\(881\) | 5.63807 | + | 17.3522i | 0.189951 | + | 0.584610i | 0.999998 | − | 0.00175471i | \(-0.000558542\pi\) |
−0.810047 | + | 0.586365i | \(0.800559\pi\) | |||||||
\(882\) | 2.94462 | 0.0991504 | ||||||||
\(883\) | 8.56269 | + | 26.3532i | 0.288157 | + | 0.886857i | 0.985434 | + | 0.170056i | \(0.0543947\pi\) |
−0.697277 | + | 0.716802i | \(0.745605\pi\) | |||||||
\(884\) | −0.302694 | − | 0.219920i | −0.0101807 | − | 0.00739670i | ||||
\(885\) | 5.47450 | − | 0.763130i | 0.184023 | − | 0.0256523i | ||||
\(886\) | −9.73951 | + | 7.07617i | −0.327205 | + | 0.237729i | ||||
\(887\) | −4.27713 | − | 3.10752i | −0.143612 | − | 0.104340i | 0.513659 | − | 0.857994i | \(-0.328289\pi\) |
−0.657271 | + | 0.753654i | \(0.728289\pi\) | |||||||
\(888\) | −0.249831 | − | 0.181513i | −0.00838379 | − | 0.00609118i | ||||
\(889\) | −2.57756 | + | 1.87271i | −0.0864486 | + | 0.0628086i | ||||
\(890\) | −19.7044 | + | 18.9857i | −0.660494 | + | 0.636401i | ||||
\(891\) | −23.9771 | − | 17.4204i | −0.803264 | − | 0.583606i | ||||
\(892\) | 4.67326 | + | 14.3828i | 0.156472 | + | 0.481572i | ||||
\(893\) | 73.5518 | 2.46132 | ||||||||
\(894\) | 0.956209 | + | 2.94291i | 0.0319804 | + | 0.0984255i | ||||
\(895\) | 10.0714 | − | 9.70407i | 0.336651 | − | 0.324371i | ||||
\(896\) | −0.309017 | + | 0.951057i | −0.0103235 | + | 0.0317726i | ||||
\(897\) | 0.478858 | − | 1.47377i | 0.0159886 | − | 0.0492078i | ||||
\(898\) | 27.4926 | − | 19.9746i | 0.917441 | − | 0.666560i | ||||
\(899\) | 23.2529 | 0.775529 | ||||||||
\(900\) | 13.8238 | + | 5.06662i | 0.460795 | + | 0.168887i | ||||
\(901\) | 4.18149 | 0.139306 | ||||||||
\(902\) | 20.4382 | − | 14.8492i | 0.680517 | − | 0.494424i | ||||
\(903\) | 0.571135 | − | 1.75777i | 0.0190062 | − | 0.0584950i | ||||
\(904\) | 2.78827 | − | 8.58141i | 0.0927365 | − | 0.285414i | ||||
\(905\) | −1.16071 | + | 6.53983i | −0.0385834 | + | 0.217391i | ||||
\(906\) | −1.01812 | − | 3.13345i | −0.0338247 | − | 0.104102i | ||||
\(907\) | 47.2539 | 1.56904 | 0.784520 | − | 0.620103i | \(-0.212909\pi\) | ||||
0.784520 | + | 0.620103i | \(0.212909\pi\) | |||||||
\(908\) | −2.95729 | − | 9.10160i | −0.0981411 | − | 0.302047i | ||||
\(909\) | 31.2421 | + | 22.6987i | 1.03624 | + | 0.752869i | ||||
\(910\) | −1.52203 | − | 0.811468i | −0.0504547 | − | 0.0268999i | ||||
\(911\) | 0.867711 | − | 0.630429i | 0.0287486 | − | 0.0208871i | −0.573318 | − | 0.819333i | \(-0.694344\pi\) |
0.602067 | + | 0.798446i | \(0.294344\pi\) | |||||||
\(912\) | −1.24105 | − | 0.901678i | −0.0410954 | − | 0.0298575i | ||||
\(913\) | 13.5865 | + | 9.87118i | 0.449648 | + | 0.326688i | ||||
\(914\) | 20.3984 | − | 14.8203i | 0.674719 | − | 0.490212i | ||||
\(915\) | 1.20184 | − | 6.77156i | 0.0397317 | − | 0.223861i | ||||
\(916\) | −7.51322 | − | 5.45867i | −0.248244 | − | 0.180360i | ||||
\(917\) | −2.34540 | − | 7.21840i | −0.0774519 | − | 0.238373i | ||||
\(918\) | −0.678580 | −0.0223965 | ||||||||
\(919\) | −2.60404 | − | 8.01440i | −0.0858993 | − | 0.264371i | 0.898876 | − | 0.438203i | \(-0.144385\pi\) |
−0.984775 | + | 0.173832i | \(0.944385\pi\) | |||||||
\(920\) | −8.34825 | − | 17.1653i | −0.275234 | − | 0.565923i | ||||
\(921\) | 0.444405 | − | 1.36774i | 0.0146436 | − | 0.0450684i | ||||
\(922\) | 1.28554 | − | 3.95648i | 0.0423369 | − | 0.130300i | ||||
\(923\) | 0.201333 | − | 0.146277i | 0.00662695 | − | 0.00481476i | ||||
\(924\) | −0.820123 | −0.0269801 | ||||||||
\(925\) | 0.243683 | − | 6.55641i | 0.00801225 | − | 0.215574i | ||||
\(926\) | −10.8531 | −0.356655 | ||||||||
\(927\) | 19.3645 | − | 14.0691i | 0.636012 | − | 0.462090i | ||||
\(928\) | 1.84532 | − | 5.67931i | 0.0605756 | − | 0.186432i | ||||
\(929\) | −11.4612 | + | 35.2740i | −0.376031 | + | 1.15730i | 0.566750 | + | 0.823890i | \(0.308200\pi\) |
−0.942781 | + | 0.333413i | \(0.891800\pi\) | |||||||
\(930\) | 2.02949 | − | 0.282906i | 0.0665498 | − | 0.00927684i | ||||
\(931\) | −2.01429 | − | 6.19934i | −0.0660156 | − | 0.203175i | ||||
\(932\) | −10.8086 | −0.354049 | ||||||||
\(933\) | −1.53964 | − | 4.73852i | −0.0504055 | − | 0.155132i | ||||
\(934\) | 11.6282 | + | 8.44840i | 0.380487 | + | 0.276440i | ||||
\(935\) | −1.65309 | − | 3.39900i | −0.0540618 | − | 0.111159i | ||||
\(936\) | −1.83759 | + | 1.33509i | −0.0600634 | + | 0.0436386i | ||||
\(937\) | 22.4393 | + | 16.3031i | 0.733059 | + | 0.532599i | 0.890530 | − | 0.454925i | \(-0.150334\pi\) |
−0.157470 | + | 0.987524i | \(0.550334\pi\) | |||||||
\(938\) | 6.42670 | + | 4.66927i | 0.209839 | + | 0.152457i | ||||
\(939\) | −1.39110 | + | 1.01069i | −0.0453969 | + | 0.0329828i | ||||
\(940\) | 11.0352 | + | 22.6901i | 0.359929 | + | 0.740070i | ||||
\(941\) | −33.0805 | − | 24.0344i | −1.07839 | − | 0.783498i | −0.100990 | − | 0.994887i | \(-0.532201\pi\) |
−0.977402 | + | 0.211390i | \(0.932201\pi\) | |||||||
\(942\) | 0.236565 | + | 0.728073i | 0.00770771 | + | 0.0237219i | ||||
\(943\) | −61.8825 | −2.01517 | ||||||||
\(944\) | 3.24585 | + | 9.98969i | 0.105643 | + | 0.325137i | ||||
\(945\) | −3.09830 | + | 0.431894i | −0.100788 | + | 0.0140495i | ||||
\(946\) | 8.45729 | − | 26.0289i | 0.274970 | − | 0.846271i | ||||
\(947\) | −11.4471 | + | 35.2306i | −0.371982 | + | 1.14484i | 0.573511 | + | 0.819198i | \(0.305581\pi\) |
−0.945493 | + | 0.325644i | \(0.894419\pi\) | |||||||
\(948\) | 0.204079 | − | 0.148272i | 0.00662817 | − | 0.00481565i | ||||
\(949\) | −5.79281 | −0.188042 | ||||||||
\(950\) | 1.21051 | − | 32.5694i | 0.0392742 | − | 1.05669i | ||||
\(951\) | 2.53137 | 0.0820853 | ||||||||
\(952\) | 0.392411 | − | 0.285103i | 0.0127181 | − | 0.00924026i | ||||
\(953\) | 13.2075 | − | 40.6486i | 0.427834 | − | 1.31674i | −0.472421 | − | 0.881373i | \(-0.656620\pi\) |
0.900255 | − | 0.435363i | \(-0.143380\pi\) | |||||||
\(954\) | 7.84438 | − | 24.1425i | 0.253971 | − | 0.781643i | ||||
\(955\) | 20.9506 | + | 43.0777i | 0.677946 | + | 1.39396i | ||||
\(956\) | 4.71512 | + | 14.5116i | 0.152498 | + | 0.469340i | ||||
\(957\) | 4.89742 | 0.158311 | ||||||||
\(958\) | 8.00683 | + | 24.6425i | 0.258689 | + | 0.796163i | ||||
\(959\) | 9.43305 | + | 6.85351i | 0.304609 | + | 0.221311i | ||||
\(960\) | 0.0919607 | − | 0.518136i | 0.00296802 | − | 0.0167228i | ||||
\(961\) | 12.8126 | − | 9.30892i | 0.413310 | − | 0.300288i | ||||
\(962\) | 0.818871 | + | 0.594945i | 0.0264015 | + | 0.0191818i | ||||
\(963\) | 43.8485 | + | 31.8578i | 1.41300 | + | 1.02660i | ||||
\(964\) | −4.45908 | + | 3.23971i | −0.143617 | + | 0.104344i | ||||
\(965\) | 43.4021 | + | 23.1398i | 1.39716 | + | 0.744896i | ||||
\(966\) | 1.62525 | + | 1.18081i | 0.0522915 | + | 0.0379920i | ||||
\(967\) | 2.09882 | + | 6.45952i | 0.0674937 | + | 0.207724i | 0.979115 | − | 0.203307i | \(-0.0651689\pi\) |
−0.911621 | + | 0.411031i | \(0.865169\pi\) | |||||||
\(968\) | −1.14425 | −0.0367777 | ||||||||
\(969\) | 0.229932 | + | 0.707657i | 0.00738647 | + | 0.0227332i | ||||
\(970\) | −0.430075 | + | 2.42318i | −0.0138089 | + | 0.0778035i | ||||
\(971\) | −6.55153 | + | 20.1635i | −0.210249 | + | 0.647079i | 0.789208 | + | 0.614126i | \(0.210491\pi\) |
−0.999457 | + | 0.0329533i | \(0.989509\pi\) | |||||||
\(972\) | −1.91543 | + | 5.89508i | −0.0614374 | + | 0.189085i | ||||
\(973\) | −6.27726 | + | 4.56070i | −0.201240 | + | 0.146209i | ||||
\(974\) | 18.4912 | 0.592495 | ||||||||
\(975\) | 0.852227 | + | 0.312352i | 0.0272931 | + | 0.0100033i | ||||
\(976\) | 13.0691 | 0.418331 | ||||||||
\(977\) | 4.64666 | − | 3.37599i | 0.148660 | − | 0.108008i | −0.510969 | − | 0.859599i | \(-0.670713\pi\) |
0.659629 | + | 0.751591i | \(0.270713\pi\) | |||||||
\(978\) | 0.659482 | − | 2.02968i | 0.0210879 | − | 0.0649019i | ||||
\(979\) | 13.1778 | − | 40.5571i | 0.421164 | − | 1.29621i | ||||
\(980\) | 1.61023 | − | 1.55150i | 0.0514370 | − | 0.0495608i | ||||
\(981\) | −12.4415 | − | 38.2910i | −0.397226 | − | 1.22254i | ||||
\(982\) | 7.19251 | 0.229522 | ||||||||
\(983\) | −0.465698 | − | 1.43327i | −0.0148535 | − | 0.0457143i | 0.943355 | − | 0.331785i | \(-0.107651\pi\) |
−0.958209 | + | 0.286071i | \(0.907651\pi\) | |||||||
\(984\) | −1.38023 | − | 1.00279i | −0.0440000 | − | 0.0319679i | ||||
\(985\) | −3.86199 | + | 3.72112i | −0.123053 | + | 0.118565i | ||||
\(986\) | −2.34331 | + | 1.70252i | −0.0746263 | + | 0.0542192i | ||||
\(987\) | −2.14835 | − | 1.56087i | −0.0683827 | − | 0.0496830i | ||||
\(988\) | 4.06779 | + | 2.95542i | 0.129414 | + | 0.0940246i | ||||
\(989\) | −54.2363 | + | 39.4050i | −1.72461 | + | 1.25300i | ||||
\(990\) | −22.7258 | + | 3.16792i | −0.722275 | + | 0.100683i | ||||
\(991\) | 1.64952 | + | 1.19844i | 0.0523986 | + | 0.0380698i | 0.613676 | − | 0.789558i | \(-0.289690\pi\) |
−0.561278 | + | 0.827628i | \(0.689690\pi\) | |||||||
\(992\) | 1.20329 | + | 3.70335i | 0.0382046 | + | 0.117582i | ||||
\(993\) | −5.19293 | −0.164793 | ||||||||
\(994\) | 0.0996959 | + | 0.306832i | 0.00316216 | + | 0.00973214i | ||||
\(995\) | 0.973455 | + | 0.518997i | 0.0308606 | + | 0.0164533i | ||||
\(996\) | 0.350462 | − | 1.07861i | 0.0111048 | − | 0.0341771i | ||||
\(997\) | 5.02102 | − | 15.4531i | 0.159017 | − | 0.489405i | −0.839528 | − | 0.543316i | \(-0.817169\pi\) |
0.998546 | + | 0.0539109i | \(0.0171687\pi\) | |||||||
\(998\) | 16.3077 | − | 11.8482i | 0.516210 | − | 0.375049i | ||||
\(999\) | 1.83575 | 0.0580805 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 350.2.h.d.211.3 | yes | 20 | |
25.4 | even | 10 | 8750.2.a.x.1.6 | 10 | |||
25.16 | even | 5 | inner | 350.2.h.d.141.3 | ✓ | 20 | |
25.21 | even | 5 | 8750.2.a.w.1.5 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
350.2.h.d.141.3 | ✓ | 20 | 25.16 | even | 5 | inner | |
350.2.h.d.211.3 | yes | 20 | 1.1 | even | 1 | trivial | |
8750.2.a.w.1.5 | 10 | 25.21 | even | 5 | |||
8750.2.a.x.1.6 | 10 | 25.4 | even | 10 |